solve for x.

Question

-2(3x - 15)-4=56

Answer 1

To solve for \( x \) in the equation \(-2(3x - 15) - 4 = 56\), follow these steps:

1. Distribute the \(-2\) across the terms inside the parentheses: \[ -2(3x) + (-2)(-15) - 4 = 56 \] \[ -6x + 30 - 4 = 56 \]

2. Simplify the left side: \[ -6x + 26 = 56 \]

3. Subtract \( 26 \) from both sides: \[ -6x = 56 - 26 \] \[ -6x = 30 \]

4. Divide both sides by \(-6\): \[ x = \frac{30}{-6} \] \[ x = -5 \]

So, the solution is: \[ \boxed{-5} \]