8x+2-4x+42=11x+20+4x-75

Solution for 8x+2-4x+42=11x+20+4x-75 equation:

Simplifying
8x + 2 + -4x + 42 = 11x + 20 + 4x + -75

Reorder the terms:
2 + 42 + 8x + -4x = 11x + 20 + 4x + -75

Combine like terms: 2 + 42 = 44
44 + 8x + -4x = 11x + 20 + 4x + -75

Combine like terms: 8x + -4x = 4x
44 + 4x = 11x + 20 + 4x + -75

Reorder the terms:
44 + 4x = 20 + -75 + 11x + 4x

Combine like terms: 20 + -75 = -55
44 + 4x = -55 + 11x + 4x

Combine like terms: 11x + 4x = 15x
44 + 4x = -55 + 15x

Solving
44 + 4x = -55 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
44 + 4x + -15x = -55 + 15x + -15x

Combine like terms: 4x + -15x = -11x
44 + -11x = -55 + 15x + -15x

Combine like terms: 15x + -15x = 0
44 + -11x = -55 + 0
44 + -11x = -55

Add '-44' to each side of the equation.
44 + -44 + -11x = -55 + -44

Combine like terms: 44 + -44 = 0
0 + -11x = -55 + -44
-11x = -55 + -44

Combine like terms: -55 + -44 = -99
-11x = -99

Divide each side by '-11'.
x = 9

Simplifying
x = 9