Question

Solve for x.
4, left parenthesis, minus, x, plus, 2, right parenthesis, minus, 4, x, plus, 2, equals, minus, 38
4(−x+2)−4x+2=
−38

Answer 1

To solve the equation \( 4(-x + 2) - 4x + 2 = -38 \), we can follow these steps:

1. Distribute the 4:
\[
4(-x + 2) = -4x + 8
\]
So, the equation becomes:
\[
-4x + 8 - 4x + 2 = -38
\]

2. Combine like terms on the left side:
\[
-4x - 4x + 8 + 2 = -38
\]
This simplifies to:
\[
-8x + 10 = -38
\]

3. Subtract 10 from both sides:
\[
-8x + 10 - 10 = -38 - 10
\]
This simplifies to:
\[
-8x = -48
\]

4. Divide both sides by -8:
\[
x = \frac{-48}{-8}
\]
Simplifying this gives:
\[
x = 6
\]

So, the solution is:
\[
\boxed{6}
\]