8-5(8+3x)=-62

To solve the equation \( 8 - 5(8 + 3x) = -62 \), follow these steps: 1. Distribute \(-5\) across the terms inside the parentheses: \[ 8 - 5 \cdot 8 - 5 \cdot 3x = -62 \] This simplifies to: \[ 8 - 40 - 15x = -62 \] 2. Combine the constant terms on the left side: \[ -32 - 15x = -62 \] 3. To isolate the term with \(x\), add \(32\) to both sides: \[ -15x = -62 + 32 \] This simplifies to: \[ -15x = -30 \] 4. Divide both sides by \(-15\): \[ x = \frac{-30}{-15} \] This simplifies to: \[ x = 2 \] So, the solution is: \[ x = 2 \]