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Simplifying
5 = 2x2 + -3
Reorder the terms:
5 = -3 + 2x2
Solving
5 = -3 + 2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x2' to each side of the equation.
5 + -2x2 = -3 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
5 + -2x2 = -3 + 0
5 + -2x2 = -3
Add '-5' to each side of the equation.
5 + -5 + -2x2 = -3 + -5
Combine like terms: 5 + -5 = 0
0 + -2x2 = -3 + -5
-2x2 = -3 + -5
Combine like terms: -3 + -5 = -8
-2x2 = -8
Divide each side by '-2'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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