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

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

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

Reorder the terms:
6(6 + x) + -1(5 + -2x) + 2 = 0
(6 * 6 + x * 6) + -1(5 + -2x) + 2 = 0
(36 + 6x) + -1(5 + -2x) + 2 = 0
36 + 6x + (5 * -1 + -2x * -1) + 2 = 0
36 + 6x + (-5 + 2x) + 2 = 0

Reorder the terms:
36 + -5 + 2 + 6x + 2x = 0

Combine like terms: 36 + -5 = 31
31 + 2 + 6x + 2x = 0

Combine like terms: 31 + 2 = 33
33 + 6x + 2x = 0

Combine like terms: 6x + 2x = 8x
33 + 8x = 0

Solving
33 + 8x = 0

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + 8x = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 8x = 0 + -33
8x = 0 + -33

Combine like terms: 0 + -33 = -33
8x = -33

Divide each side by '8'.
x = -4.125

Simplifying
x = -4.125