Question

olve 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 \(-2\) to the expression inside the parentheses:
\[
-2 \cdot 3x + -2 \cdot -15 = -6x + 30
\]
Therefore, 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 \(-6\):
\[
x = \frac{30}{-6}
\]
\[
x = -5
\]

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