2x-3(x-1)=-5

Solution for 2x-3(x-1)=-5 equation:

Simplifying
2x + -3(x + -1) = -5

Reorder the terms:
2x + -3(-1 + x) = -5
2x + (-1 * -3 + x * -3) = -5
2x + (3 + -3x) = -5

Reorder the terms:
3 + 2x + -3x = -5

Combine like terms: 2x + -3x = -1x
3 + -1x = -5

Solving
3 + -1x = -5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1x = -5 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -5 + -3
-1x = -5 + -3

Combine like terms: -5 + -3 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8