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Home > CC4 > Chapter A > Lesson A.1.8 > Problem A-85

A-85.

Solve the equations below and check your solutions. Homework Help ✎

  1. −3 + 2x = −x + 6

  2. 5 − 3x = x + 1

  3. −2x = 4x + 9

  4. 4x + 3 = x

Add 3 to both sides.

−3 + 2x = −x + 6
+3 +3
2x = −x + 9

Add x to both sides.

2x = −x + 9
+x +x
3x = 9

Divide both sides by 3.

x = 3

Substitute 3 back into the original equation.
− 3 + 2(3) = −(3) + 6
−3 + 6 = −3 + 6
−3 = −3

It works!

Refer to part (a).

x = 1

x = −1.5

Use the same method as parts (a), (b), and (c). Make sure to check your answer as shown in part (a).