12x+6=8x+42

Solution for 12x+6=8x+42 equation:

Simplifying
12x + 6 = 8x + 42

Reorder the terms:
6 + 12x = 8x + 42

Reorder the terms:
6 + 12x = 42 + 8x

Solving
6 + 12x = 42 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 12x + -8x = 42 + 8x + -8x

Combine like terms: 12x + -8x = 4x
6 + 4x = 42 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + 4x = 42 + 0
6 + 4x = 42

Add '-6' to each side of the equation.
6 + -6 + 4x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 42 + -6
4x = 42 + -6

Combine like terms: 42 + -6 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9