x+6=6(x+6)

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

Simplifying
x + 6 = 6(x + 6)

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

Reorder the terms:
6 + x = 6(6 + x)
6 + x = (6 * 6 + x * 6)
6 + x = (36 + 6x)

Solving
6 + x = 36 + 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 = 36 + 6x + -6x

Combine like terms: x + -6x = -5x
6 + -5x = 36 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -5x = 36 + 0
6 + -5x = 36

Add '-6' to each side of the equation.
6 + -6 + -5x = 36 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 36 + -6
-5x = 36 + -6

Combine like terms: 36 + -6 = 30
-5x = 30

Divide each side by '-5'.
x = -6

Simplifying
x = -6