Proofs help homework

Question

Fill in the missing justification in the following algebraic proof

Given: 4(x-8)=2x+12 Prove: x=22

Statement Reason

4(x-8)=2x +12 Given 4x-32=2x+12 2x-32=12 2x=44 X=22

Answer 1

Here is the justification for each step.

4(x-8)=2x +12 to 4x-32=2x+12 uses the distributive property

4x-32=2x+12 to 2x-32=12 uses the subtraction property of equality for the -2x from both sides

2x-32=12 to 2x=44 uses the addition property of equality for +32 to both sides

2x=44 to x=22 uses the division property of equality