Question

What is the value of x?

6(−3−x)−2x=14

Enter your answer in the box.

Answer 1

To solve the equation \( 6(-3 - x) - 2x = 14 \), follow these steps:

1. Distribute the 6:
\[
6 \cdot -3 + 6 \cdot -x - 2x = 14
\]
This simplifies to:
\[
-18 - 6x - 2x = 14
\]

2. Combine like terms:
\[
-18 - 8x = 14
\]

3. Add 18 to both sides:
\[
-8x = 14 + 18
\]
This simplifies to:
\[
-8x = 32
\]

4. Divide both sides by -8:
\[
x = \frac{32}{-8} = -4
\]

Thus, the value of \( x \) is \(\boxed{-4}\).