x^2-2x=-2x+3

Solution for x^2-2x=-2x+3 equation:

Simplifying
x2 + -2x = -2x + 3

Reorder the terms:
-2x + x2 = -2x + 3

Reorder the terms:
-2x + x2 = 3 + -2x

Add '2x' to each side of the equation.
-2x + 2x + x2 = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
0 + x2 = 3 + -2x + 2x
x2 = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
x2 = 3 + 0
x2 = 3

Solving
x2 = 3

Solving for variable 'x'.

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

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}