X^2+3x-12=13+3x

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Solution for X^2+3x-12=13+3x equation: 


Simplifying
X2 + 3x + -12 = 13 + 3x

Reorder the terms:
-12 + X2 + 3x = 13 + 3x

Add '-3x' to each side of the equation.
-12 + X2 + 3x + -3x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + X2 + 0 = 13 + 3x + -3x
-12 + X2 = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + X2 = 13 + 0
-12 + X2 = 13

Solving
-12 + X2 = 13

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + 12 + X2 = 13 + 12

Combine like terms: -12 + 12 = 0
0 + X2 = 13 + 12
X2 = 13 + 12

Combine like terms: 13 + 12 = 25
X2 = 25

Simplifying
X2 = 25

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

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