x(5x-3)=(5x+3)(x-1)

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Solution for x(5x-3)=(5x+3)(x-1) equation:


Simplifying
x(5x + -3) = (5x + 3)(x + -1)

Reorder the terms:
x(-3 + 5x) = (5x + 3)(x + -1)
(-3 * x + 5x * x) = (5x + 3)(x + -1)
(-3x + 5x2) = (5x + 3)(x + -1)

Reorder the terms:
-3x + 5x2 = (3 + 5x)(x + -1)

Reorder the terms:
-3x + 5x2 = (3 + 5x)(-1 + x)

Multiply (3 + 5x) * (-1 + x)
-3x + 5x2 = (3(-1 + x) + 5x * (-1 + x))
-3x + 5x2 = ((-1 * 3 + x * 3) + 5x * (-1 + x))
-3x + 5x2 = ((-3 + 3x) + 5x * (-1 + x))
-3x + 5x2 = (-3 + 3x + (-1 * 5x + x * 5x))
-3x + 5x2 = (-3 + 3x + (-5x + 5x2))

Combine like terms: 3x + -5x = -2x
-3x + 5x2 = (-3 + -2x + 5x2)

Add '-5x2' to each side of the equation.
-3x + 5x2 + -5x2 = -3 + -2x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-3x + 0 = -3 + -2x + 5x2 + -5x2
-3x = -3 + -2x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-3x = -3 + -2x + 0
-3x = -3 + -2x

Solving
-3x = -3 + -2x

Solving for variable 'x'.

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

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

Combine like terms: -3x + 2x = -1x
-1x = -3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-1x = -3 + 0
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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