### Home > CC2 > Chapter 8 > Lesson 8.2.1 > Problem 8-40

8-40.

Simplify and solve each equation below for

*x*. Show your work and check your answer. Homework Help ✎24 = 3

*x*+ 32(

*x*− 6) =*x*− 143(2

*x*− 3) = 4*x*− 5*x*= 2*x*− 5

Begin isolating *x* by subtracting 3 from both sides.

24 = 3*x* + 3

−3 −3

21 = 3*x*

Divide both sides by 3.

*x* = 7

Begin by distributing.

2(*x*) − 2(6) = *x* − 14

2*x* − 12 = *x* − 14

Add 12 to both sides.

2*x* = *x* − 2

Subtract *x* from each side.

*x* = −2

Follow the methods presented in parts (a) and (b).

Follow the methods presented in parts (a) and (b).