Question

1) 3(х + 4) = 6 + 5х 2) – 2(3 - х) = 2х – 6 3) –(5х + 3) = -8х 4) -3 (-5 + х) = 4х - 13 5) -2(х - 3) = х - 9​

Answer 1

Ответ:

Пошаговое объяснение:

1) 3(х + 4) = 6 + 5х

3x + 12 = 6 + 5x

5x - 3x = 12 - 6

2x = 6

x = 6:2

x = 3

2) – 2(3 - х) = 2х – 6

-6 + 2x = 2x - 6

2x - 2x = 6 - 6

0 = 0

x є (-∞ ; ∞)

3) –(5х + 3) = -8х

-5x - 3 = -8x

8x - 5x = 3

3x = 3

x = 3:3

x = 1

4) -3 (-5 + х) = 4х - 13

15 - 3x = 4x - 13

4x + 3x = 15+13

7x = 28

x = 28:7

x = 4

5) -2(х - 3) = х - 9​

-2x + 6 = x - 9

x + 2x = 6 + 9

3x = 15

x = 15:3

x = 5

Answer 2

1)3х+12=6+5х
3х-5х=6-12
-2х=-6
2х=6
х=6:2
х=3
2) -2(3-х)=2х-6
-6+2х=2х-6
2х-2х=-6+6
0=0
3) -(5х+3)=-8х
-5х-3=-8х
-5х+8х=3
3х=3
Х=3:3
Х=1
4) -3(-5+х)=4х-13
-15-3х=4х-13
-3х-4х=-13+15
-7х=2
Х=2+7
Х=9
5) -2(х-3)=х-9
-2х+6=х-9
-2х-х=-9-6
-3х=-15
Х=15:3
Х=5

Answer 3

Let's solve each of these equations step by step:

1. 3(x + 4) = 6 + 5x

First, distribute the 3 on the left side of the equation:

3x + 12 = 6 + 5x

Now, move the 5x from the right side to the left side by subtracting 5x from both sides of the equation:

3x - 5x + 12 = 6

Now, combine like terms on the left side:

-2x + 12 = 6

Next, subtract 12 from both sides:

-2x + 12 - 12 = 6 - 12

-2x = -6

Finally, divide both sides by -2 to solve for x:

(-2x) / (-2) = (-6) / (-2)

x = 3

So, the solution to the first equation is x = 3.

2. -2(3 - x) = 2x - 6

First, distribute the -2 on the left side of the equation:

-6 + 2x = 2x - 6

Now, move the 2x from the right side to the left side by subtracting 2x from both sides of the equation:

-6 + 2x - 2x = 2x - 6 - 2x

-6 = -6

The equation simplifies to -6 = -6, which means it's an identity, and x can be any real number. There is no unique solution to this equation.

3. -(5x + 3) = -8x

First, distribute the negative sign on the left side of the equation:

-5x - 3 = -8x

Now, move the -8x from the right side to the left side by adding 8x to both sides of the equation:

-5x + 8x - 3 = -8x + 8x

3x - 3 = 0

Now, add 3 to both sides to solve for x:

3x - 3 + 3 = 0 + 3

3x = 3

Finally, divide both sides by 3 to solve for x:

(3x) / (3) = (3) / (3)

x = 1

So, the solution to the third equation is x = 1.

4. -3(-5 + x) = 4x - 13

First, distribute the -3 on the left side of the equation:

15 - 3x = 4x - 13

Now, move the 4x from the right side to the left side by adding 4x to both sides of the equation:

15 - 3x + 4x = 4x - 13 + 4x

15 + x = 0

Now, subtract 15 from both sides to solve for x:

15 + x - 15 = 0 - 15

x = -15

So, the solution to the fourth equation is x = -15.

5. -2(x - 3) = x - 9

First, distribute the -2 on the left side of the equation:

-2x + 6 = x - 9

Now, move the x from the right side to the left side by adding 2x to both sides of the equation:

-2x + 6 + 2x = x - 9 + 2x

6 = 3x - 9

Now, add 9 to both sides to solve for x:

6 + 9 = 3x - 9 + 9

15 = 3x

Finally, divide both sides by 3 to solve for x:

(15) / (3) = (3x) / (3)

x = 5

So, the solution to the fifth equation is x = 5.