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

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

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

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

Reorder the terms:
-2 + 2x + -3(-2 + x) = 5
-2 + 2x + (-2 * -3 + x * -3) = 5
-2 + 2x + (6 + -3x) = 5

Reorder the terms:
-2 + 6 + 2x + -3x = 5

Combine like terms: -2 + 6 = 4
4 + 2x + -3x = 5

Combine like terms: 2x + -3x = -1x
4 + -1x = 5

Solving
4 + -1x = 5

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 5 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 5 + -4
-1x = 5 + -4

Combine like terms: 5 + -4 = 1
-1x = 1

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

Simplifying
x = -1