x^2+x-3x-3=22-2x

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Solution for x^2+x-3x-3=22-2x equation: 


Simplifying
x2 + x + -3x + -3 = 22 + -2x

Reorder the terms:
-3 + x + -3x + x2 = 22 + -2x

Combine like terms: x + -3x = -2x
-3 + -2x + x2 = 22 + -2x

Add '2x' to each side of the equation.
-3 + -2x + 2x + x2 = 22 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 0 + x2 = 22 + -2x + 2x
-3 + x2 = 22 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + x2 = 22 + 0
-3 + x2 = 22

Solving
-3 + x2 = 22

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + x2 = 22 + 3

Combine like terms: -3 + 3 = 0
0 + x2 = 22 + 3
x2 = 22 + 3

Combine like terms: 22 + 3 = 25
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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