### Home > CAAC > Chapter 4 > Lesson 4.1.2 > Problem 4-14

4-14.

Simplify each of the following equations and solve for

*x*. Show all work and check your solution. Homework Help ✎7 − 3

*x*= −*x*+ 12 3

*x*= − (*x*+ 6)

Flip subtraction to addition.

7 + −3*x* = −*x* + 1

Now you have to choose!

Add *x* to both sides.

Subtract 7 from both sides.

Flip to positive.

7 + −2*x* = 1

−2*x* = −6

2x = 6

Add 3*x* to both sides.

Subtract 1 from both sides.

7 = 2*x* +1

2*x* = 6

Divide by 2 on both sides.

*x* = 3

Check your work! Substitute your answer into the original equation.

See the hints in part (a).

−1