3x^2-4x+8+x=2x^2-3x+12

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Solution for 3x^2-4x+8+x=2x^2-3x+12 equation: 


Simplifying
3x2 + -4x + 8 + x = 2x2 + -3x + 12

Reorder the terms:
8 + -4x + x + 3x2 = 2x2 + -3x + 12

Combine like terms: -4x + x = -3x
8 + -3x + 3x2 = 2x2 + -3x + 12

Reorder the terms:
8 + -3x + 3x2 = 12 + -3x + 2x2

Add '3x' to each side of the equation.
8 + -3x + 3x + 3x2 = 12 + -3x + 3x + 2x2

Combine like terms: -3x + 3x = 0
8 + 0 + 3x2 = 12 + -3x + 3x + 2x2
8 + 3x2 = 12 + -3x + 3x + 2x2

Combine like terms: -3x + 3x = 0
8 + 3x2 = 12 + 0 + 2x2
8 + 3x2 = 12 + 2x2

Solving
8 + 3x2 = 12 + 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.
8 + 3x2 + -2x2 = 12 + 2x2 + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
8 + 1x2 = 12 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
8 + 1x2 = 12 + 0
8 + 1x2 = 12

Add '-8' to each side of the equation.
8 + -8 + 1x2 = 12 + -8

Combine like terms: 8 + -8 = 0
0 + 1x2 = 12 + -8
1x2 = 12 + -8

Combine like terms: 12 + -8 = 4
1x2 = 4

Divide each side by '1'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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