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

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Solution for X(5x-1)+5=5x(x-5)+x equation: 


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

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

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

Reorder the terms:
5 + -1X + 5xX = 5x(-5 + x) + x
5 + -1X + 5xX = (-5 * 5x + x * 5x) + x
5 + -1X + 5xX = (-25x + 5x2) + x

Reorder the terms:
5 + -1X + 5xX = -25x + x + 5x2

Combine like terms: -25x + x = -24x
5 + -1X + 5xX = -24x + 5x2

Solving
5 + -1X + 5xX = -24x + 5x2

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + -1X + -5 + 5xX = -24x + -5 + 5x2

Reorder the terms:
5 + -5 + -1X + 5xX = -24x + -5 + 5x2

Combine like terms: 5 + -5 = 0
0 + -1X + 5xX = -24x + -5 + 5x2
-1X + 5xX = -24x + -5 + 5x2

Reorder the terms:
-1X + 5xX = -5 + -24x + 5x2

Reorder the terms:
5 + -1X + 24x + 5xX + -5x2 = -5 + -24x + 5x2 + 5 + 24x + -5x2

Reorder the terms:
5 + -1X + 24x + 5xX + -5x2 = -5 + 5 + -24x + 24x + 5x2 + -5x2

Combine like terms: -5 + 5 = 0
5 + -1X + 24x + 5xX + -5x2 = 0 + -24x + 24x + 5x2 + -5x2
5 + -1X + 24x + 5xX + -5x2 = -24x + 24x + 5x2 + -5x2

Combine like terms: -24x + 24x = 0
5 + -1X + 24x + 5xX + -5x2 = 0 + 5x2 + -5x2
5 + -1X + 24x + 5xX + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
5 + -1X + 24x + 5xX + -5x2 = 0

The solution to this equation could not be determined.

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