2-(x+3)=x-5

Solution for 2-(x+3)=x-5 equation:

Simplifying
2 + -1(x + 3) = x + -5

Reorder the terms:
2 + -1(3 + x) = x + -5
2 + (3 * -1 + x * -1) = x + -5
2 + (-3 + -1x) = x + -5

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

Reorder the terms:
-1 + -1x = -5 + x

Solving
-1 + -1x = -5 + 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.
-1 + -1x + -1x = -5 + x + -1x

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

Combine like terms: x + -1x = 0
-1 + -2x = -5 + 0
-1 + -2x = -5

Add '1' to each side of the equation.
-1 + 1 + -2x = -5 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = -5 + 1
-2x = -5 + 1

Combine like terms: -5 + 1 = -4
-2x = -4

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

Simplifying
x = 2