Solve for x.

3, left parenthesis, minus, 2, x, minus, 1, right parenthesis, plus, x, minus, 2, equals, 25
3(−2x−1)+x−2=
25

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To solve the equation \(3(-2x - 1) + x - 2 = 25\), let's follow these steps:

1. Distribute the 3 in the left side:
\[
3(-2x) + 3(-1) + x - 2 = 25
\]
This simplifies to:
\[
-6x - 3 + x - 2 = 25
\]

2. Combine like terms:
\[
-6x + x - 3 - 2 = 25
\]
This simplifies to:
\[
-5x - 5 = 25
\]

3. Add 5 to both sides:
\[
-5x - 5 + 5 = 25 + 5
\]
This gives:
\[
-5x = 30
\]

4. Divide both sides by -5:
\[
x = \frac{30}{-5}
\]
Thus,
\[
x = -6
\]

The solution is:
\[
\boxed{-6}
\]