17(5+x) - 20x = 8x-14

Let's solve the equation step by step: Given: \[ 17(5 + x) - 20x = 8x - 14 \] **Step 1:** Distribute 17 on the left side: \[ 17 \times 5 + 17 \times x - 20x = 8x - 14 \] \[ 85 + 17x - 20x = 8x - 14 \] **Step 2:** Combine like terms on the left: \[ 85 - 3x = 8x - 14 \] **Step 3:** Get all x terms on one side and constants on the other: Subtract 8x from both sides: \[ 85 - 3x - 8x = -14 \] \[ 85 - 11x = -14 \] Subtract 85 from both sides: \[ -11x = -14 - 85 \] \[ -11x = -99 \] **Step 4:** Solve for x: Divide both sides by -11: \[ x = \frac{-99}{-11} = 9 \] **Final answer:** \[ \boxed{x = 9} \]