x+6=3(6x+6)

Solution for x+6=3(6x+6) equation:

Simplifying
x + 6 = 3(6x + 6)

Reorder the terms:
6 + x = 3(6x + 6)

Reorder the terms:
6 + x = 3(6 + 6x)
6 + x = (6 * 3 + 6x * 3)
6 + x = (18 + 18x)

Solving
6 + x = 18 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
6 + x + -18x = 18 + 18x + -18x

Combine like terms: x + -18x = -17x
6 + -17x = 18 + 18x + -18x

Combine like terms: 18x + -18x = 0
6 + -17x = 18 + 0
6 + -17x = 18

Add '-6' to each side of the equation.
6 + -6 + -17x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -17x = 18 + -6
-17x = 18 + -6

Combine like terms: 18 + -6 = 12
-17x = 12

Divide each side by '-17'.
x = -0.7058823529

Simplifying
x = -0.7058823529