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 = -3
-3 + 2x + -1x = 1

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

Solving
-3 + 1x = 1

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 = 1 + 3

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

Combine like terms: 1 + 3 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4