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

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

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

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

Remove parenthesis around (6 + x)
6 + x = 3(x + 6)

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

Solving
6 + x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + x + -3x = 18 + 3x + -3x

Combine like terms: x + -3x = -2x
6 + -2x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -2x = 18 + 0
6 + -2x = 18

Add '-6' to each side of the equation.
6 + -6 + -2x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 18 + -6
-2x = 18 + -6

Combine like terms: 18 + -6 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6