2(x-1)-x=5

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

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

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

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

Solving
-2 + 1x = 5

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 1x = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 5 + 2
1x = 5 + 2

Combine like terms: 5 + 2 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7