3+(x-4)=2-5+(6-x)

Solution for 3+(x-4)=2-5+(6-x) equation:

Simplifying
3 + (x + -4) = 2 + -5 + (6 + -1x)

Reorder the terms:
3 + (-4 + x) = 2 + -5 + (6 + -1x)

Remove parenthesis around (-4 + x)
3 + -4 + x = 2 + -5 + (6 + -1x)

Combine like terms: 3 + -4 = -1
-1 + x = 2 + -5 + (6 + -1x)

Remove parenthesis around (6 + -1x)
-1 + x = 2 + -5 + 6 + -1x

Combine like terms: 2 + -5 = -3
-1 + x = -3 + 6 + -1x

Combine like terms: -3 + 6 = 3
-1 + x = 3 + -1x

Solving
-1 + x = 3 + -1x

Solving for variable 'x'.

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

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

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

Combine like terms: -1x + x = 0
-1 + 2x = 3 + 0
-1 + 2x = 3

Add '1' to each side of the equation.
-1 + 1 + 2x = 3 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 3 + 1
2x = 3 + 1

Combine like terms: 3 + 1 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2