12x+6=13x-6

Solution for 12x+6=13x-6 equation:

Simplifying
12x + 6 = 13x + -6

Reorder the terms:
6 + 12x = 13x + -6

Reorder the terms:
6 + 12x = -6 + 13x

Solving
6 + 12x = -6 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
6 + 12x + -13x = -6 + 13x + -13x

Combine like terms: 12x + -13x = -1x
6 + -1x = -6 + 13x + -13x

Combine like terms: 13x + -13x = 0
6 + -1x = -6 + 0
6 + -1x = -6

Add '-6' to each side of the equation.
6 + -6 + -1x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -6 + -6
-1x = -6 + -6

Combine like terms: -6 + -6 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12