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

Solution for 2-(x+3)=(x-1) equation:

Simplifying
2 + -1(x + 3) = (x + -1)

Reorder the terms:
2 + -1(3 + x) = (x + -1)
2 + (3 * -1 + x * -1) = (x + -1)
2 + (-3 + -1x) = (x + -1)

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

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

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

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

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

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

Solving
-1x = 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.
-1x + -1x = x + -1x

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

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

Divide each side by '-2'.
x = 0

Simplifying
x = 0