6-3(x+2)=x+12

Solution for 6-3(x+2)=x+12 equation:

Simplifying
6 + -3(x + 2) = x + 12

Reorder the terms:
6 + -3(2 + x) = x + 12
6 + (2 * -3 + x * -3) = x + 12
6 + (-6 + -3x) = x + 12

Combine like terms: 6 + -6 = 0
0 + -3x = x + 12
-3x = x + 12

Reorder the terms:
-3x = 12 + x

Solving
-3x = 12 + 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.
-3x + -1x = 12 + x + -1x

Combine like terms: -3x + -1x = -4x
-4x = 12 + x + -1x

Combine like terms: x + -1x = 0
-4x = 12 + 0
-4x = 12

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

Simplifying
x = -3