Question

1. multiple choice what is the solution of $2(x - 4) = -(-x + 3)$? (section 1.3) \\(\boldsymbol{\text{a}}\\) $x = -5$ \\(\boldsymbol{\text{b}}\\) $x = 2$ \\(\boldsymbol{\text{c}}\\) $x = 5$ \\(\boldsymbol{\text{d}}\\) $x = 7$

Explanation:

Step1: Expand both sides

Expand the left side: \(2(x - 4)=2x-8\).
Expand the right side: \(-(-x + 3)=x - 3\).
Now the equation is \(2x-8=x - 3\).

Step2: Solve for \(x\)

Subtract \(x\) from both sides: \(2x - x-8=x - x - 3\), which simplifies to \(x - 8=-3\).
Add 8 to both sides: \(x - 8 + 8=-3 + 8\), so \(x = 5\).

Answer:

C. \(x = 5\)