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

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

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

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

Solving
-6 + -2x = 6 + 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.
-6 + -2x + -2x = 6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-6 + -4x = 6 + 0
-6 + -4x = 6

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

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

Combine like terms: 6 + 6 = 12
-4x = 12

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

Simplifying
x = -3