Question

solve for x. 3(x - 4) - 16 = 2(x - 8) + 8
a. 12
b. 28
c. 20
d. 16

Explanation:

Step1: Expand both sides

Expand \(3(x - 4)-16\) to \(3x-12 - 16=3x-28\), and expand \(2(x - 8)+8\) to \(2x-16 + 8=2x-8\). So the equation becomes \(3x-28=2x - 8\).

Step2: Move terms with x to one - side

Subtract \(2x\) from both sides: \(3x-2x-28=2x-2x - 8\), which simplifies to \(x-28=-8\).

Step3: Solve for x

Add 28 to both sides: \(x-28 + 28=-8 + 28\), so \(x = 20\).

Answer:

C. 20