-(x-1)+5=(x+3)-1

Solution for -(x-1)+5=(x+3)-1 equation:

Simplifying
-1(x + -1) + 5 = (x + 3) + -1

Reorder the terms:
-1(-1 + x) + 5 = (x + 3) + -1
(-1 * -1 + x * -1) + 5 = (x + 3) + -1
(1 + -1x) + 5 = (x + 3) + -1

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

Combine like terms: 1 + 5 = 6
6 + -1x = (x + 3) + -1

Reorder the terms:
6 + -1x = (3 + x) + -1

Remove parenthesis around (3 + x)
6 + -1x = 3 + x + -1

Reorder the terms:
6 + -1x = 3 + -1 + x

Combine like terms: 3 + -1 = 2
6 + -1x = 2 + x

Solving
6 + -1x = 2 + 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.
6 + -1x + -1x = 2 + x + -1x

Combine like terms: -1x + -1x = -2x
6 + -2x = 2 + x + -1x

Combine like terms: x + -1x = 0
6 + -2x = 2 + 0
6 + -2x = 2

Add '-6' to each side of the equation.
6 + -6 + -2x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 2 + -6
-2x = 2 + -6

Combine like terms: 2 + -6 = -4
-2x = -4

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

Simplifying
x = 2