Question

Помогите пожалуйста решить уравнения! 1. 5 – 6х = –10х – 3 2. 6(2х + 5) – 8х = 2 3. 3 + 4(5х – 3) = 4х + 7 4. 3(5х – 7) – 7(4х + 5) = х 5. 2(6х – 5) – 7(3х – 5) = 4х – 1 6. –12x + 4(x – 3) = – 8x – 12 7. 2(4х – 5) = 2х + 8 8. 3х – 10 = 5х + 2(4х + 5) 9. 6х – 6(2х + 5) = 4(5х – 1) 10.11 – 4(3х – 1) – 5(4х – 3) = 3х

Answer 1

5-6x=-10x-3
-6x+10x=-3-5
4x=-8:4
x=-2
6(2x+5)-8x=2
12x+30-8x=2
4x=2-30
4x=-28:4
x=-7
3+4(5x-3)=4x+7
3+20x-12=4x+7
20x-4x=7+12-3
16x=16:16
x=1
3(5x-7)-7(4x+5)=x
15x-21-28x-35=x
-13x-x=56
-14x=57:(-14)
x=-4
2(6x-5)-7(3x-5)=4x-1
12x-10-21x+35=4x-1
-9x-4x=-1+10-35
-13x=-26:(-13)
x=2
-12x+4(x-3)=-8x-12
-12x+4x-12=-8x-12
-8x+8x=-12+12
0x=0
любой корень
2(4x-5)=2x+8
8x-10=2x+8
8x-2x=8+10
6x=18:6
x=3
3x-10=5x+2(4x+5)
3x-10=5x+8x+10
3x-13x=10+10
-10x=20:(-10)
x=-2
6x-6(2x+5)=4(5x-1)
6x-12x-30=20x-4
-6x-20x=-4+30
-26x=26:(-26)
x=-1
11-4(3x-1)-5(4x-3)=3x
11-12x+4-20x+15=3x
-32x-3x=-30
-35x=-30:(-35)
x=6/7

Answer 2

1. To solve the equation 5 - 6x = -10x - 3, we need to simplify and isolate the variable x.

Let's start by combining like terms on both sides of the equation: 5 + 3 = -10x + 6x - 3

This simplifies to: 8 = -4x - 3

Next, let's isolate the variable x by moving the constant term to the other side of the equation: 8 + 3 = -4x 11 = -4x

Finally, divide both sides of the equation by -4 to solve for x: x = 11 / -4 x = -11/4

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

2. To solve the equation 6(2x + 5) - 8x = 2, we'll follow a similar process.

First, distribute the 6 to the terms inside the parentheses: 12x + 30 - 8x = 2

Next, combine like terms: 4x + 30 = 2

Then, move the constant term to the other side: 4x = 2 - 30 4x = -28

Finally, divide both sides by 4 to solve for x: x = -28 / 4 x = -7

So the solution to the equation is x = -7.

3. To solve the equation 3 + 4(5x - 3) = 4x + 7, we'll follow a similar process.

First, distribute the 4 to the terms inside the parentheses: 3 + 20x - 12 = 4x + 7

Next, combine like terms: 20x - 9 = 4x + 7

Then, move the constant term to the other side: 20x - 4x = 7 + 9 16x = 16

Finally, divide both sides by 16 to solve for x: x = 16 / 16 x = 1

So the solution to the equation is x = 1.

4. To solve the equation 3(5x - 7) - 7(4x + 5) = x + 5, we'll follow a similar process.

First, distribute the 3 and -7 to the terms inside the parentheses: 15x - 21 - 28x - 35 = x + 5

Next, combine like terms: 15x - 28x - x = 5 + 21 + 35

Simplify: -14x = 61

Finally, divide both sides by -14 to solve for x: x = 61 / -14

So the solution to the equation is x = -61/14.

5. To solve the equation 2(6x - 5) - 7(3x - 5) = 4x - 1, we'll follow a similar process.

First, distribute the 2 and -7 to the terms inside the parentheses: 12x - 10 - 21x + 35 = 4x - 1

Next, combine like terms: 12x - 21x - 4x = 1 - 35 + 10

Simplify: -13x = -24

Finally, divide both sides by -13 to solve for x: x = -24 / -13

So the solution to the equation is x = 24/13.

6. To solve the equation -12x + 4(x - 3) = -8x - 12, we'll follow a similar process.

First, distribute the 4 to the terms inside the parentheses: -12x + 4x - 12 = -8x - 12

Next, combine like terms: -8x - 12 = -8x - 12

Since the variable terms cancel out on both sides of the equation, the solution is any real number. This equation is called an identity because it is true for all values of x.

7. To solve the equation 2(4x - 5) = 2x + 8, we'll follow a similar process.

First, distribute the 2 to the terms inside the parentheses: 8x - 10 = 2x + 8

Next, combine like terms: 8x - 2x = 8 + 10

Simplify: 6x = 18

Finally, divide both sides by 6 to solve for x: x = 18 / 6 x = 3

So the solution to the equation is x = 3.

8. To solve the equation 3x - 10 = 5x + 2(4x + 5), we'll follow a similar process.

First, distribute the 2 to the terms inside the parentheses: 3x - 10 = 5x + 8x + 10

Next, combine like terms: 3x - 10 = 13x + 10

Then, move the constant term to the other side: 3x - 13x = 10 + 10 -10x = 20

Finally, divide both sides by -10 to solve for x: x = 20 / -10 x = -2

So the solution to the equation is x = -2.

9. To solve the equation 6x - 6(2x + 5) = 4(5x - 1), we'll follow a similar process.

First, distribute the -6 and 4 to the terms inside the parentheses: 6x - 12x - 30 = 20x - 4

Next, combine like terms: -6x - 30 = 20x - 4

Then, move the constant term to the other side: -6x - 20x = -4 + 30 -26x = 26

Finally, divide both sides by -26 to solve for x: x = 26 / -26 x = -1

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

10. To solve the equation 11 - 4(3x - 1) - 5(4x - 3) = 3x, we'll follow a similar process.

First, distribute the -4 and -5 to the terms inside the parentheses: 11 - 12x + 4 - 20x + 15 = 3x

Next, combine like terms: 30 - 32x = 3x

Then, move the variable terms to one side and the constant term to the other side: 30 = 35x

Finally, divide both sides by 35 to solve for x: x = 30 / 35 x = 6/7

So the solution to the equation is x = 6/7.