x+6=6(x+12)

Solution for x+6=6(x+12) equation:

Simplifying
x + 6 = 6(x + 12)

Reorder the terms:
6 + x = 6(x + 12)

Reorder the terms:
6 + x = 6(12 + x)
6 + x = (12 * 6 + x * 6)
6 + x = (72 + 6x)

Solving
6 + x = 72 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + x + -6x = 72 + 6x + -6x

Combine like terms: x + -6x = -5x
6 + -5x = 72 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -5x = 72 + 0
6 + -5x = 72

Add '-6' to each side of the equation.
6 + -6 + -5x = 72 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 72 + -6
-5x = 72 + -6

Combine like terms: 72 + -6 = 66
-5x = 66

Divide each side by '-5'.
x = -13.2

Simplifying
x = -13.2