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

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

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

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

Reorder the terms:
6 + -2x = -2(3 + 2x)
6 + -2x = (3 * -2 + 2x * -2)
6 + -2x = (-6 + -4x)

Solving
6 + -2x = -6 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + -2x + 4x = -6 + -4x + 4x

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

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

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

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

Combine like terms: -6 + -6 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6