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:

\[ \boxed{x = 9} \]