# Problem Solve the equation: \[ \frac{4x}{x+1} = 8 \] # Step-by-Step Solution First, isolate the variable \(x\). Multiply both sides of the equation by \((x+1)\) to eliminate the denominator: \[ 4x = 8(x + 1) \] Expand the right side: \[ 4x = 8x + 8 \] Bring all terms involving \(x\) to one side and constants to the other side: \[ 4x - 8x = 8 \] \[ -4x = 8 \] Divide both sides by \(-4\) to solve for \(x\): \[ x = \frac{8}{-4} = -2 \] # Final Answer \[ x = -2 \]