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

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

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

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

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

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

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

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

Solving
-1 + 1x = 1

Solving for variable 'x'.

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

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

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

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

Divide each side by '1'.
x = 2

Simplifying
x = 2