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

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


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

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

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

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

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

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

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

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

Combine like terms: 5x + -2x = 3x
-1 + -1x + 2x2 = (-5 + 3x + 2x2)

Add '-2x2' to each side of the equation.
-1 + -1x + 2x2 + -2x2 = -5 + 3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1 + -1x + 0 = -5 + 3x + 2x2 + -2x2
-1 + -1x = -5 + 3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1 + -1x = -5 + 3x + 0
-1 + -1x = -5 + 3x

Solving
-1 + -1x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + -1x + -3x = -5 + 3x + -3x

Combine like terms: -1x + -3x = -4x
-1 + -4x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -4x = -5 + 0
-1 + -4x = -5

Add '1' to each side of the equation.
-1 + 1 + -4x = -5 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = -5 + 1
-4x = -5 + 1

Combine like terms: -5 + 1 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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