X(2x+5)-(x-2)=2x(x+5)

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Solution for X(2x+5)-(x-2)=2x(x+5) equation: 


Simplifying
X(2x + 5) + -1(x + -2) = 2x(x + 5)

Reorder the terms:
X(5 + 2x) + -1(x + -2) = 2x(x + 5)
(5 * X + 2x * X) + -1(x + -2) = 2x(x + 5)
(5X + 2xX) + -1(x + -2) = 2x(x + 5)

Reorder the terms:
5X + 2xX + -1(-2 + x) = 2x(x + 5)
5X + 2xX + (-2 * -1 + x * -1) = 2x(x + 5)
5X + 2xX + (2 + -1x) = 2x(x + 5)

Reorder the terms:
2 + 5X + -1x + 2xX = 2x(x + 5)

Reorder the terms:
2 + 5X + -1x + 2xX = 2x(5 + x)
2 + 5X + -1x + 2xX = (5 * 2x + x * 2x)
2 + 5X + -1x + 2xX = (10x + 2x2)

Solving
2 + 5X + -1x + 2xX = 10x + 2x2

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + 5X + -1x + -2 + 2xX = 10x + -2 + 2x2

Reorder the terms:
2 + -2 + 5X + -1x + 2xX = 10x + -2 + 2x2

Combine like terms: 2 + -2 = 0
0 + 5X + -1x + 2xX = 10x + -2 + 2x2
5X + -1x + 2xX = 10x + -2 + 2x2

Reorder the terms:
5X + -1x + 2xX = -2 + 10x + 2x2

Add 'x' to each side of the equation.
5X + -1x + x + 2xX = -2 + 10x + x + 2x2

Combine like terms: -1x + x = 0
5X + 0 + 2xX = -2 + 10x + x + 2x2
5X + 2xX = -2 + 10x + x + 2x2

Combine like terms: 10x + x = 11x
5X + 2xX = -2 + 11x + 2x2

Reorder the terms:
2 + 5X + -11x + 2xX + -2x2 = -2 + 11x + 2x2 + 2 + -11x + -2x2

Reorder the terms:
2 + 5X + -11x + 2xX + -2x2 = -2 + 2 + 11x + -11x + 2x2 + -2x2

Combine like terms: -2 + 2 = 0
2 + 5X + -11x + 2xX + -2x2 = 0 + 11x + -11x + 2x2 + -2x2
2 + 5X + -11x + 2xX + -2x2 = 11x + -11x + 2x2 + -2x2

Combine like terms: 11x + -11x = 0
2 + 5X + -11x + 2xX + -2x2 = 0 + 2x2 + -2x2
2 + 5X + -11x + 2xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
2 + 5X + -11x + 2xX + -2x2 = 0

The solution to this equation could not be determined.

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