2-(x+4)=(x-1)+1

Solution for 2-(x+4)=(x-1)+1 equation:

Simplifying
2 + -1(x + 4) = (x + -1) + 1

Reorder the terms:
2 + -1(4 + x) = (x + -1) + 1
2 + (4 * -1 + x * -1) = (x + -1) + 1
2 + (-4 + -1x) = (x + -1) + 1

Combine like terms: 2 + -4 = -2
-2 + -1x = (x + -1) + 1

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

Remove parenthesis around (-1 + x)
-2 + -1x = -1 + x + 1

Reorder the terms:
-2 + -1x = -1 + 1 + x

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

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

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

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

Add '2' to each side of the equation.
-2 + 2 + -2x = 0 + 2

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

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

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

Simplifying
x = -1