5x-6=11x-42

Solution for 5x-6=11x-42 equation:

Simplifying
5x + -6 = 11x + -42

Reorder the terms:
-6 + 5x = 11x + -42

Reorder the terms:
-6 + 5x = -42 + 11x

Solving
-6 + 5x = -42 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-6 + 5x + -11x = -42 + 11x + -11x

Combine like terms: 5x + -11x = -6x
-6 + -6x = -42 + 11x + -11x

Combine like terms: 11x + -11x = 0
-6 + -6x = -42 + 0
-6 + -6x = -42

Add '6' to each side of the equation.
-6 + 6 + -6x = -42 + 6

Combine like terms: -6 + 6 = 0
0 + -6x = -42 + 6
-6x = -42 + 6

Combine like terms: -42 + 6 = -36
-6x = -36

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

Simplifying
x = 6