Question

Identify the steps followed to solve the equation 5(3x+2)+7=6+2(3x−8)

Put responses in the correct input to answer the question.
15x+10+7 = 6+ 6x−16
15x+17=6x−10
9x+17=−10
9x=−27
x=−3

Answer 1

answer: x=3

5(3x+2)+7=6+2(3x−8)

1: Simplify both sides of the equation.

5(3x+2)+7=6+2(3x−8)

(5)(3x)+(5)(2)+7=6+(2)(3x)+(2)(−8)(Distribute)

15x+10+7=6+6x+−16

(15x)+(10+7)=(6x)+(6+−16)(Combine Like Terms)

15x+17=6x+−10

15x+17=6x−10

2: Subtract 6x from both sides.

15x+17−6x=6x−10−6x

9x+17=−10

3: Subtract 17 from both sides.

9x+17−17=−10−17

9x=−27

4: Divide both sides by 9.

9x/9=-27/9

x=−3