-3(x+2)=(x+6)

Solution for -3(x+2)=(x+6) equation:

Simplifying
-3(x + 2) = (x + 6)

Reorder the terms:
-3(2 + x) = (x + 6)
(2 * -3 + x * -3) = (x + 6)
(-6 + -3x) = (x + 6)

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

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

Solving
-6 + -3x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + -3x + -1x = 6 + x + -1x

Combine like terms: -3x + -1x = -4x
-6 + -4x = 6 + x + -1x

Combine like terms: x + -1x = 0
-6 + -4x = 6 + 0
-6 + -4x = 6

Add '6' to each side of the equation.
-6 + 6 + -4x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -4x = 6 + 6
-4x = 6 + 6

Combine like terms: 6 + 6 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3