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

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

Simplifying
x2 + -6 = 3(x + 1) + -3x

Reorder the terms:
-6 + x2 = 3(x + 1) + -3x

Reorder the terms:
-6 + x2 = 3(1 + x) + -3x
-6 + x2 = (1 * 3 + x * 3) + -3x
-6 + x2 = (3 + 3x) + -3x

Combine like terms: 3x + -3x = 0
-6 + x2 = 3 + 0
-6 + x2 = 3

Solving
-6 + x2 = 3

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 = 3 + 6

Combine like terms: -6 + 6 = 0
0 + x2 = 3 + 6
x2 = 3 + 6

Combine like terms: 3 + 6 = 9
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}