olve for x

Question

x
: −2(3x−15)−4=56
−
2
(
3
x
−
15
)
−
4
=
56
.(1 po

Answer 1

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

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

2. Combine like terms: \[ -6x + 26 = 56 \]

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

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

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