Solve for x : −2(3x−15)−4=56 .(1 point) x=

Answer 1

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

1. Distribute \(-2\) across \((3x - 15)\): \[ -2 \cdot 3x + (-2) \cdot (-15) = -6x + 30 \] Thus, the equation becomes: \[ -6x + 30 - 4 = 56 \]

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: \[ \boxed{-5} \]