Question

1. 2(x + 8) = -3(x + 3)

Explanation:

Step1: Expand both sides

Expand the left side: \(2(x + 8)=2x + 16\)
Expand the right side: \(-3(x + 3)=-3x - 9\)

Step2: Move all x terms to left and constants to right

Add \(3x\) to both sides: \(2x + 16+3x=-3x - 9+3x\)
Simplify: \(5x + 16=-9\)
Subtract 16 from both sides: \(5x + 16 - 16=-9 - 16\)

Step3: Solve for x

Simplify: \(5x=-25\)
Divide both sides by 5: \(x=\frac{-25}{5}\)

Answer:

\(x = -5\)