2x^2+3X-1=2x^2-4x+13

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Solution for 2x^2+3X-1=2x^2-4x+13 equation:


Simplifying
2x2 + 3X + -1 = 2x2 + -4x + 13

Reorder the terms:
-1 + 3X + 2x2 = 2x2 + -4x + 13

Reorder the terms:
-1 + 3X + 2x2 = 13 + -4x + 2x2

Add '-2x2' to each side of the equation.
-1 + 3X + 2x2 + -2x2 = 13 + -4x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1 + 3X + 0 = 13 + -4x + 2x2 + -2x2
-1 + 3X = 13 + -4x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1 + 3X = 13 + -4x + 0
-1 + 3X = 13 + -4x

Solving
-1 + 3X = 13 + -4x

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + 1 + 3X = 13 + 1 + -4x

Combine like terms: -1 + 1 = 0
0 + 3X = 13 + 1 + -4x
3X = 13 + 1 + -4x

Combine like terms: 13 + 1 = 14
3X = 14 + -4x

Divide each side by '3'.
X = 4.666666667 + -1.333333333x

Simplifying
X = 4.666666667 + -1.333333333x

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