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

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

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

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

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

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

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

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

Solving
1 + 3x = 0

Solving for variable 'x'.

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

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

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

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

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333