2-(x-1)=5

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

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

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

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

Solving
3 + -1x = 5

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 = 5 + -3

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

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2