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

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

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

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

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

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

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

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

Combine like terms: x + -1x = 0
6 + -1x = 3 + 0
6 + -1x = 3

Solving
6 + -1x = 3

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 3 + -6
-1x = 3 + -6

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3