Question

Solve for xx:
5, minus, left parenthesis, 2, x, plus, 2, right parenthesis, equals, 4, left parenthesis, x, minus, 6, right parenthesis
5−(2x+2)=
4(x−6)

Answer 1

To solve the equation \( 5 - (2x + 2) = 4(x - 6) \), follow these steps:

1. Distribute the negative sign on the left side:
\[
5 - 2x - 2 = 4(x - 6)
\]

2. Simplify the left side:
\[
3 - 2x = 4(x - 6)
\]

3. Distribute on the right side:
\[
3 - 2x = 4x - 24
\]

4. Next, add \( 2x \) to both sides:
\[
3 = 4x + 2x - 24
\]
\[
3 = 6x - 24
\]

5. Now, add 24 to both sides:
\[
3 + 24 = 6x
\]
\[
27 = 6x
\]

6. Finally, divide both sides by 6:
\[
x = \frac{27}{6}
\]

7. Simplify the fraction:
\[
x = \frac{9}{2} \quad \text{or} \quad x = 4.5
\]

Thus, the solution is:
\[
\boxed{\frac{9}{2}} \quad \text{or} \quad x = 4.5
\]