### Home > AC > Chapter 7 > Lesson 7.1.4 > Problem 7-39

7-39.

Solve each of the following equations. Homework Help ✎

2

*x*+ 8 = 3*x*− 41.5(

*w*+ 2) = 3 + 2*w*8(

*x*+ 6) + 23 = 73(2

*x*− 7) = 5*x*+ 17 +*x*

Note: Some steps may be done differently.

Be sure to check you answers by substituting them into the original equations.

Subtract 2*x* from both sides.

8 = *x* − 4

Add 4 to both sides.

12 = *x*

Verify that 2(12) + 8 = 3(12) − 4

Use the Distributive Property.

1.5*w* + 3 = 3 + 2*w*

Subtract 1.5*x* from both sides.

Subtract 3 from both sides.

Divide both sides by 0.5.

*w* = 0

Be sure to check your answer.

Now try parts (c) and (d) on your own.