(x-1)+(x+4)=(x-5)

Solution for (x-1)+(x+4)=(x-5) equation:

Simplifying
(x + -1) + (x + 4) = (x + -5)

Reorder the terms:
(-1 + x) + (x + 4) = (x + -5)

Remove parenthesis around (-1 + x)
-1 + x + (x + 4) = (x + -5)

Reorder the terms:
-1 + x + (4 + x) = (x + -5)

Remove parenthesis around (4 + x)
-1 + x + 4 + x = (x + -5)

Reorder the terms:
-1 + 4 + x + x = (x + -5)

Combine like terms: -1 + 4 = 3
3 + x + x = (x + -5)

Combine like terms: x + x = 2x
3 + 2x = (x + -5)

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

Remove parenthesis around (-5 + x)
3 + 2x = -5 + x

Solving
3 + 2x = -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.
3 + 2x + -1x = -5 + x + -1x

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

Combine like terms: x + -1x = 0
3 + 1x = -5 + 0
3 + 1x = -5

Add '-3' to each side of the equation.
3 + -3 + 1x = -5 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = -5 + -3
1x = -5 + -3

Combine like terms: -5 + -3 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8