### Home > CC4 > Chapter 3 > Lesson 3.1.4 > Problem 3-50

3-50.

Solve each equation below for *x*. Explain or justify each of your steps. Be sure to check your solutions. Homework Help ✎

Multiply both sides by 8.

*x*= 6

Use the same steps as (a), but distribute the negative over the parentheses.

5

*x*+ (−*x*) + (−1) = 5 − 2*x*Start by combining like terms.

Start by combining like terms

2

*x*+ 5 =*x*− 3Move

*x*to one side by subtracting*x*from both sides.2

*x*+ 5 −*x*=*x*− 3 −*x**x*+ 5 = −3Isolate

*x*by subtracting 5 from each side.*x*+ 5 − 5 = −3 − 53(−8) + 5 − (−8) = −8 − 3

Don't forget to check your answer!

*x*= −8

Use the same method outlined in part (a).