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

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

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

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

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

Solving
6 + 6x = -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 + 6x + -3x = -18 + 3x + -3x

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

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

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

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

Combine like terms: -18 + -6 = -24
3x = -24

Divide each side by '3'.
x = -8

Simplifying
x = -8