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

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

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

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

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

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

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

Reorder the terms:
-4 + 2x = (5 + x) + -1(x + 1)

Remove parenthesis around (5 + x)
-4 + 2x = 5 + x + -1(x + 1)

Reorder the terms:
-4 + 2x = 5 + x + -1(1 + x)
-4 + 2x = 5 + x + (1 * -1 + x * -1)
-4 + 2x = 5 + x + (-1 + -1x)

Reorder the terms:
-4 + 2x = 5 + -1 + x + -1x

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

Combine like terms: x + -1x = 0
-4 + 2x = 4 + 0
-4 + 2x = 4

Solving
-4 + 2x = 4

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 2x = 4 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = 4 + 4
2x = 4 + 4

Combine like terms: 4 + 4 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4