11-5x=2(3-4x)-16

To solve the equation \( 11 - 5x = 2(3 - 4x) - 16 \), follow these steps:

1. First, simplify the right side of the equation: \[ 2(3 - 4x) - 16 = 6 - 8x - 16 = -10 - 8x \]

2. Now, substitute this back into the equation: \[ 11 - 5x = -10 - 8x \]

3. Next, add \( 8x \) to both sides of the equation to get the terms involving \( x \) on one side: \[ 11 - 5x + 8x = -10 \] \[ 11 + 3x = -10 \]

4. Now, subtract \( 11 \) from both sides: \[ 3x = -10 - 11 \] \[ 3x = -21 \]

5. Finally, divide by \( 3 \): \[ x = -7 \]

So the solution to the equation is \( x = -7 \).