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

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Solution for (2x+1)(x-1)=(x+5)(2x-5) equation: 


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

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

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

Multiply (1 + 2x) * (-1 + x)
(1(-1 + x) + 2x * (-1 + x)) = (x + 5)(2x + -5)
((-1 * 1 + x * 1) + 2x * (-1 + x)) = (x + 5)(2x + -5)
((-1 + 1x) + 2x * (-1 + x)) = (x + 5)(2x + -5)
(-1 + 1x + (-1 * 2x + x * 2x)) = (x + 5)(2x + -5)
(-1 + 1x + (-2x + 2x2)) = (x + 5)(2x + -5)

Combine like terms: 1x + -2x = -1x
(-1 + -1x + 2x2) = (x + 5)(2x + -5)

Reorder the terms:
-1 + -1x + 2x2 = (5 + x)(2x + -5)

Reorder the terms:
-1 + -1x + 2x2 = (5 + x)(-5 + 2x)

Multiply (5 + x) * (-5 + 2x)
-1 + -1x + 2x2 = (5(-5 + 2x) + x(-5 + 2x))
-1 + -1x + 2x2 = ((-5 * 5 + 2x * 5) + x(-5 + 2x))
-1 + -1x + 2x2 = ((-25 + 10x) + x(-5 + 2x))
-1 + -1x + 2x2 = (-25 + 10x + (-5 * x + 2x * x))
-1 + -1x + 2x2 = (-25 + 10x + (-5x + 2x2))

Combine like terms: 10x + -5x = 5x
-1 + -1x + 2x2 = (-25 + 5x + 2x2)

Add '-2x2' to each side of the equation.
-1 + -1x + 2x2 + -2x2 = -25 + 5x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1 + -1x + 0 = -25 + 5x + 2x2 + -2x2
-1 + -1x = -25 + 5x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1 + -1x = -25 + 5x + 0
-1 + -1x = -25 + 5x

Solving
-1 + -1x = -25 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-1 + -1x + -5x = -25 + 5x + -5x

Combine like terms: -1x + -5x = -6x
-1 + -6x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
-1 + -6x = -25 + 0
-1 + -6x = -25

Add '1' to each side of the equation.
-1 + 1 + -6x = -25 + 1

Combine like terms: -1 + 1 = 0
0 + -6x = -25 + 1
-6x = -25 + 1

Combine like terms: -25 + 1 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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