11x+150+2x-162=5x+8+2x+46

Solution for 11x+150+2x-162=5x+8+2x+46 equation:

Simplifying
11x + 150 + 2x + -162 = 5x + 8 + 2x + 46

Reorder the terms:
150 + -162 + 11x + 2x = 5x + 8 + 2x + 46

Combine like terms: 150 + -162 = -12
-12 + 11x + 2x = 5x + 8 + 2x + 46

Combine like terms: 11x + 2x = 13x
-12 + 13x = 5x + 8 + 2x + 46

Reorder the terms:
-12 + 13x = 8 + 46 + 5x + 2x

Combine like terms: 8 + 46 = 54
-12 + 13x = 54 + 5x + 2x

Combine like terms: 5x + 2x = 7x
-12 + 13x = 54 + 7x

Solving
-12 + 13x = 54 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-12 + 13x + -7x = 54 + 7x + -7x

Combine like terms: 13x + -7x = 6x
-12 + 6x = 54 + 7x + -7x

Combine like terms: 7x + -7x = 0
-12 + 6x = 54 + 0
-12 + 6x = 54

Add '12' to each side of the equation.
-12 + 12 + 6x = 54 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 54 + 12
6x = 54 + 12

Combine like terms: 54 + 12 = 66
6x = 66

Divide each side by '6'.
x = 11

Simplifying
x = 11