2(x+3)=6(x-1)-8

Solution for 2(x+3)=6(x-1)-8 equation:

Simplifying
2(x + 3) = 6(x + -1) + -8

Reorder the terms:
2(3 + x) = 6(x + -1) + -8
(3 * 2 + x * 2) = 6(x + -1) + -8
(6 + 2x) = 6(x + -1) + -8

Reorder the terms:
6 + 2x = 6(-1 + x) + -8
6 + 2x = (-1 * 6 + x * 6) + -8
6 + 2x = (-6 + 6x) + -8

Reorder the terms:
6 + 2x = -6 + -8 + 6x

Combine like terms: -6 + -8 = -14
6 + 2x = -14 + 6x

Solving
6 + 2x = -14 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 2x + -6x = -14 + 6x + -6x

Combine like terms: 2x + -6x = -4x
6 + -4x = -14 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -4x = -14 + 0
6 + -4x = -14

Add '-6' to each side of the equation.
6 + -6 + -4x = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -14 + -6
-4x = -14 + -6

Combine like terms: -14 + -6 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5