2x(x-7)+3X=2x-8

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Solution for 2x(x-7)+3X=2x-8 equation: 


Simplifying
2x(x + -7) + 3X = 2x + -8

Reorder the terms:
2x(-7 + x) + 3X = 2x + -8
(-7 * 2x + x * 2x) + 3X = 2x + -8
(-14x + 2x2) + 3X = 2x + -8

Reorder the terms:
3X + -14x + 2x2 = 2x + -8

Reorder the terms:
3X + -14x + 2x2 = -8 + 2x

Solving
3X + -14x + 2x2 = -8 + 2x

Solving for variable 'X'.

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

Add '14x' to each side of the equation.
3X + -14x + 14x + 2x2 = -8 + 2x + 14x

Combine like terms: -14x + 14x = 0
3X + 0 + 2x2 = -8 + 2x + 14x
3X + 2x2 = -8 + 2x + 14x

Combine like terms: 2x + 14x = 16x
3X + 2x2 = -8 + 16x

Add '-2x2' to each side of the equation.
3X + 2x2 + -2x2 = -8 + 16x + -2x2

Combine like terms: 2x2 + -2x2 = 0
3X + 0 = -8 + 16x + -2x2
3X = -8 + 16x + -2x2

Divide each side by '3'.
X = -2.666666667 + 5.333333333x + -0.6666666667x2

Simplifying
X = -2.666666667 + 5.333333333x + -0.6666666667x2

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