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

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

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

Reorder the terms:
2(-2 + x) + -1(x + -1) = x + -5
(-2 * 2 + x * 2) + -1(x + -1) = x + -5
(-4 + 2x) + -1(x + -1) = x + -5

Reorder the terms:
-4 + 2x + -1(-1 + x) = x + -5
-4 + 2x + (-1 * -1 + x * -1) = x + -5
-4 + 2x + (1 + -1x) = x + -5

Reorder the terms:
-4 + 1 + 2x + -1x = x + -5

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

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

Reorder the terms:
-3 + 1x = -5 + x

Solving
-3 + 1x = -5 + x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: -5 + 3 = -2
0 = -2

Simplifying
0 = -2

Combine like terms: 0 + 2 = 2
2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 = 0

The solution to this equation could not be determined.