(2(х-4)-6)+30=66

To solve the equation \( (2(x-4) - 6) + 30 = 66 \), follow these steps:

1. Distribute the 2 in the parentheses: \[ 2(x-4) = 2x - 8 \] So, the equation becomes: \[ (2x - 8 - 6) + 30 = 66 \]

2. Combine like terms inside the parentheses: \[ 2x - 8 - 6 = 2x - 14 \] Thus, the equation simplifies to: \[ (2x - 14) + 30 = 66 \]

3. Combine the constants: \[ 2x - 14 + 30 = 2x + 16 \] Now the equation is: \[ 2x + 16 = 66 \]

4. Isolate \( 2x \) by subtracting 16 from both sides: \[ 2x = 66 - 16 \] \[ 2x = 50 \]

5. Divide both sides by 2 to solve for \( x \): \[ x = \frac{50}{2} = 25 \]

Thus, the solution to the equation is: \[ \boxed{25} \]