Solve for x.

Question

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

Answer 1

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: \[ \boxed{-6} \]