6(x+1)=12(x-3)

Solution for 6(x+1)=12(x-3) equation:

Simplifying
6(x + 1) = 12(x + -3)

Reorder the terms:
6(1 + x) = 12(x + -3)
(1 * 6 + x * 6) = 12(x + -3)
(6 + 6x) = 12(x + -3)

Reorder the terms:
6 + 6x = 12(-3 + x)
6 + 6x = (-3 * 12 + x * 12)
6 + 6x = (-36 + 12x)

Solving
6 + 6x = -36 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
6 + 6x + -12x = -36 + 12x + -12x

Combine like terms: 6x + -12x = -6x
6 + -6x = -36 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + -6x = -36 + 0
6 + -6x = -36

Add '-6' to each side of the equation.
6 + -6 + -6x = -36 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = -36 + -6
-6x = -36 + -6

Combine like terms: -36 + -6 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7