6(x+1)=-2(x-3)

Solution for 6(x+1)=-2(x-3) equation:

Simplifying
6(x + 1) = -2(x + -3)

Reorder the terms:
6(1 + x) = -2(x + -3)
(1 * 6 + x * 6) = -2(x + -3)
(6 + 6x) = -2(x + -3)

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

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

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

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

Solving
6x = -2x

Solving for variable 'x'.

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

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

Combine like terms: 6x + 2x = 8x
8x = -2x + 2x

Combine like terms: -2x + 2x = 0
8x = 0

Divide each side by '8'.
x = 0

Simplifying
x = 0