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

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

Simplifying
x2 + -2(x + 3) = 6 + -2x

Reorder the terms:
x2 + -2(3 + x) = 6 + -2x
x2 + (3 * -2 + x * -2) = 6 + -2x
x2 + (-6 + -2x) = 6 + -2x

Reorder the terms:
-6 + -2x + x2 = 6 + -2x

Add '2x' to each side of the equation.
-6 + -2x + 2x + x2 = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 0 + x2 = 6 + -2x + 2x
-6 + x2 = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + x2 = 6 + 0
-6 + x2 = 6

Solving
-6 + x2 = 6

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + x2 = 6 + 6

Combine like terms: -6 + 6 = 0
0 + x2 = 6 + 6
x2 = 6 + 6

Combine like terms: 6 + 6 = 12
x2 = 12

Simplifying
x2 = 12

Take the square root of each side:
x = {-3.464101615, 3.464101615}