Question

Using the Distributive Property to Solve
Solve to find the value for x in the linear equation: 3(−4x + 5) = 12.

1. Use the distributive property:



2. Use the subtraction property of equality:

3. Division property of equality:


3(−4x) + 3(5) = 12

−12x + 15 = 12

−12x + 15 − 15 = 12 − 15

−12x = −3

x =

Answer 1

Divide both sides by −12:

x = (−3) / (−12) = 3/12 = 1/4.

Check: 3(−4(1/4) + 5) = 3(−1 + 5) = 3(4) = 12.