2x^2-X+12=-3x^2+6

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Solution for 2x^2-X+12=-3x^2+6 equation:


Simplifying
2x2 + -1X + 12 = -3x2 + 6

Reorder the terms:
12 + -1X + 2x2 = -3x2 + 6

Reorder the terms:
12 + -1X + 2x2 = 6 + -3x2

Solving
12 + -1X + 2x2 = 6 + -3x2

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 + -1X + -12 + 2x2 = 6 + -12 + -3x2

Reorder the terms:
12 + -12 + -1X + 2x2 = 6 + -12 + -3x2

Combine like terms: 12 + -12 = 0
0 + -1X + 2x2 = 6 + -12 + -3x2
-1X + 2x2 = 6 + -12 + -3x2

Combine like terms: 6 + -12 = -6
-1X + 2x2 = -6 + -3x2

Add '-2x2' to each side of the equation.
-1X + 2x2 + -2x2 = -6 + -3x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1X + 0 = -6 + -3x2 + -2x2
-1X = -6 + -3x2 + -2x2

Combine like terms: -3x2 + -2x2 = -5x2
-1X = -6 + -5x2

Divide each side by '-1'.
X = 6 + 5x2

Simplifying
X = 6 + 5x2

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