Question

Решите уравнения: 2) 4 (9-5x)+7x= 11 умножить 2 (8x+1) = 3) 9x-3(12-7x) = 5(6x-7)-1= 4) 5x-24=4(x+7)-(12-x) = 5) 8x+5(2-3x)=4-6(10x+3)= 6) x+3=2x-4= 7) x+4=X+2= 8) 5x=6x= 9) 2x-5=7x+2= 10) 2x-6=3x= 11) 2x+5-7x+2=3= 12) 3x-5=-2x+7+5x012= 15) 3x-1-(2x+5-x)=0= 16) 5x+7-2x-(3-2x+x)=0 17) 5x-7=3x+4= 18) 4-12x=7x+3= 19) 2(-3x+4)+5(2x-8)=3(x-12)=

Answer 1

3) 9х-36-21х=30х-35-1; 9х-21х-30х=-35-1+36;-42х=2; х=-21;
4) 5х-24=4х+28-12+х; 5х+4х-х=28-12+24; 8х=40; х=5;
6) х=-4-3; х=-7
9) 2х-7х=2+5; -5х=7; х=-1,4
10) 2х-3х=6; х=6
11) 2х-7х=3-5-2; -5х=-4; х=1,25
17) 5х-3х=4+7; 2х=11; х=5,5

Answer 2

To solve the given equations, we'll go through each one step by step. Let's start with equation 2.

Equation 2: 4(9 - 5x) + 7x = 11

To solve this equation, we'll first simplify it by distributing the 4 to the terms inside the parentheses:

36 - 20x + 7x = 11

Combining like terms, we have:

36 - 13x = 11

Next, we'll isolate the variable x by moving the constant term to the other side:

36 - 11 = 13x

25 = 13x

Now, divide both sides of the equation by 13 to solve for x:

x = 25/13

So the solution to equation 2 is x = 25/13.

Moving on to equation 3:

Equation 3: 9x - 3(12 - 7x) = 5(6x - 7) - 1

Let's simplify this equation step by step. First, distribute the -3 and 5 to the terms inside the parentheses:

9x - 36 + 21x = 30x - 35 - 1

Combine like terms:

30x - 36 = 30x - 36

We can see that both sides of the equation are equal, and the variable x is eliminated. This means that x can be any real number since both sides of the equation are identical.

Moving on to equation 4:

Equation 4: 5x - 24 = 4(x + 7) - (12 - x)

Let's simplify this equation step by step. First, distribute the 4 to the terms inside the parentheses:

5x - 24 = 4x + 28 - (12 - x)

Next, distribute the negative sign to the terms inside the parentheses:

5x - 24 = 4x + 28 - 12 + x

Combine like terms:

5x - 24 = 5x + 16

Now, we can see that both sides of the equation have 5x terms. Subtract 5x from both sides:

-24 = 16

This equation is inconsistent since the left side is not equal to the right side. Therefore, there is no solution to equation 4.

Moving on to equation 5:

Equation 5: 8x + 5(2 - 3x) = 4 - 6(10x + 3)

Let's simplify this equation step by step. First, distribute the 5 and -6 to the terms inside the parentheses:

8x + 10 - 15x = 4 - 60x - 18

Combine like terms:

8x - 15x + 60x = 4 - 10 - 18

Simplify further:

53x = -24

Now, divide both sides of the equation by 53 to solve for x:

x = -24/53

So the solution to equation 5 is x = -24/53.

Moving on to equation 6:

Equation 6: x + 3 = 2x - 4

To solve this equation, we'll isolate the variable x by moving the constant term to the other side:

x - 2x = -4 - 3

Simplify:

-x = -7

Now, multiply both sides of the equation by -1 to solve for x:

x = 7

So the solution to equation 6 is x = 7.

Continuing with equation 7:

Equation 7: x + 4 = x + 2

In this equation, you can see that x terms are present on both sides. Subtracting x from both sides, we get:

4 = 2

This equation is inconsistent since the left side is not equal to the right side. Therefore, there is no solution to equation 7.

Moving on to equation 8:

Equation 8: 5x = 6x

To solve this equation, we'll isolate the variable x by moving the 6x term to the other side:

5x - 6x = 0

Combine like terms:

-x = 0

Now, multiply both sides of the equation by -1 to solve for x:

x = 0

So the solution to equation 8 is x = 0.

Continuing with equation 9:

Equation 9: 2x - 5 = 7x + 2

To solve this equation, we'll isolate the variable x by moving the 7x term to the other side and the -5 term to the other side:

2x - 7x = 2 + 5

Combine like terms:

-5x = 7

Now, divide both sides of the equation by -5 to solve for x:

x = -7/5

So the solution to equation 9 is x = -7/5.

Moving on to equation 10:

Equation 10: 2x - 6 = 3x

To solve this equation, we'll isolate the variable x by moving the 3x term to the other side and the -6 term to the other side:

2x - 3x = 6

Combine like terms:

-x = 6

Now, multiply both sides of the equation by -1 to solve for x:

x = -6

So the solution to equation 10 is x = -6.

Continuing with equation 11:

Equation 11: 2x + 5 - 7x + 2 = 3

Combine like terms:

-5x + 7 = 3

Now, isolate the variable x by moving the constant term to the other side:

-5x = 3 - 7

Simplify further:

-5x = -4

Now, divide both sides of the equation by -5 to solve for x:

x = -4/-5

Simplify:

x = 4/5

So the solution to equation 11 is x = 4/5.

Moving on to equation 12:

Equation 12: 3x - 5 = -2x + 7 + 5x

First, combine like terms:

3x - 5 = 3x + 7

Now, subtract 3x from both sides to isolate the variable x:

-5 = 7

This equation is inconsistent since the left side is not equal to the right side. Therefore, there is no solution to equation 12.

Continuing with equation 13:

Equation 13: 5x + 7 - 2x - (3 - 2x + x) = 0

Let's simplify this equation step by step. First, distribute the negative sign to the terms inside the parentheses:

5x + 7 - 2x - 3 + 2x - x = 0

Combine like terms:

4x + 4 = 0

Now, subtract 4 from both sides to isolate the variable x:

4x = -4

Divide both sides of the equation by 4 to solve for x:

x = -1

So the solution to equation 13 is x = -1.

Moving on to equation 14:

Equation 14: 5x - 7 = 3x + 4

To solve this equation, we'll isolate the variable x by moving the 3x term to the other side and the -7 term to the other side:

5x - 3x = 4 + 7

Combine like terms:

2x = 11

Now, divide both sides of the equation by 2 to solve for x:

x = 11/2

So the solution to equation 14 is x = 11/2.

Continuing with equation 15:

Equation 15: 3x - 1 - (2x + 5 - x) = 0

Let's simplify this equation step by step. First, simplify the terms inside the parentheses:

3x - 1 - (2x + 5 - x) = 0

3x - 1 - (x + 5) = 0

Now, distribute the negative sign to the terms inside the parentheses:

3x - 1 - x - 5 = 0

Combine like terms:

2x - 6 = 0

Now, add 6 to both sides to isolate the variable x:

2x = 6

Divide both sides of the equation by 2 to solve for x:

x = 3

So the solution to equation 15 is x = 3.

Moving on to equation 16:

Equation 16: 5x + 7 - 2x - (3 - 2x + x) = 0

Let's simplify this equation step by step. First, simplify the terms inside the parentheses:

5x + 7 - 2x - (3 - 2x + x) = 0

5x + 7 - 2x - 3 + 2x - x = 0

Combine like terms:

4x + 4 = 0

Now, subtract 4 from both sides to isolate the variable x:

4x = -4

Divide both sides