(x+6)-(5+2x)+2=0

Solution for (x+6)-(5+2x)+2=0 equation:

Simplifying
(x + 6) + -1(5 + 2x) + 2 = 0

Reorder the terms:
(6 + x) + -1(5 + 2x) + 2 = 0

Remove parenthesis around (6 + x)
6 + x + -1(5 + 2x) + 2 = 0
6 + x + (5 * -1 + 2x * -1) + 2 = 0
6 + x + (-5 + -2x) + 2 = 0

Reorder the terms:
6 + -5 + 2 + x + -2x = 0

Combine like terms: 6 + -5 = 1
1 + 2 + x + -2x = 0

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

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

Solving
3 + -1x = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3