6(-x+4)+12=5x+22

Solution for 6(-x+4)+12=5x+22 equation:

Simplifying
6(-1x + 4) + 12 = 5x + 22

Reorder the terms:
6(4 + -1x) + 12 = 5x + 22
(4 * 6 + -1x * 6) + 12 = 5x + 22
(24 + -6x) + 12 = 5x + 22

Reorder the terms:
24 + 12 + -6x = 5x + 22

Combine like terms: 24 + 12 = 36
36 + -6x = 5x + 22

Reorder the terms:
36 + -6x = 22 + 5x

Solving
36 + -6x = 22 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
36 + -6x + -5x = 22 + 5x + -5x

Combine like terms: -6x + -5x = -11x
36 + -11x = 22 + 5x + -5x

Combine like terms: 5x + -5x = 0
36 + -11x = 22 + 0
36 + -11x = 22

Add '-36' to each side of the equation.
36 + -36 + -11x = 22 + -36

Combine like terms: 36 + -36 = 0
0 + -11x = 22 + -36
-11x = 22 + -36

Combine like terms: 22 + -36 = -14
-11x = -14

Divide each side by '-11'.
x = 1.272727273

Simplifying
x = 1.272727273