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

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

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

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

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

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

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

Multiply -5 * -1
6 + x + 5x + 2 = 0

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

Combine like terms: 6 + 2 = 8
8 + x + 5x = 0

Combine like terms: x + 5x = 6x
8 + 6x = 0

Solving
8 + 6x = 0

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 6x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = 0 + -8
6x = 0 + -8

Combine like terms: 0 + -8 = -8
6x = -8

Divide each side by '6'.
x = -1.333333333

Simplifying
x = -1.333333333