(x+6)=6(x+9)

Solution for (x+6)=6(x+9) equation:

Simplifying
(x + 6) = 6(x + 9)

Reorder the terms:
(6 + x) = 6(x + 9)

Remove parenthesis around (6 + x)
6 + x = 6(x + 9)

Reorder the terms:
6 + x = 6(9 + x)
6 + x = (9 * 6 + x * 6)
6 + x = (54 + 6x)

Solving
6 + x = 54 + 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 = 54 + 6x + -6x

Combine like terms: x + -6x = -5x
6 + -5x = 54 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -5x = 54 + 0
6 + -5x = 54

Add '-6' to each side of the equation.
6 + -6 + -5x = 54 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 54 + -6
-5x = 54 + -6

Combine like terms: 54 + -6 = 48
-5x = 48

Divide each side by '-5'.
x = -9.6

Simplifying
x = -9.6