Question

Solve for x in the equation: 3x - 1 = -2(x - 1) - 4.

a) x = 2
b) x = 3
c) x = 4
d) x = 5

Answer 1

To solve the equation 3x - 1 = -2(x - 1) - 4, simplify and solve step by step.

Step-by-step explanation:

To solve for x in the equation 3x - 1 = -2(x - 1) - 4, we will simplify and solve step by step:

1. Expand the expression on the right side of the equation: 3x - 1 = -2x + 2 - 4.
2. Combine like terms: 3x - 1 = -2x - 2.
3. Add 2x to both sides: 5x - 1 = -2.
4. Add 1 to both sides: 5x = -1 + 2.
5. Simplify the right side: 5x = 1.
6. Divide by 5 to solve for x: x = 1/5.