(2x-1)(x-2)-3x+26=(2x+1)(x+2)

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Solution for (2x-1)(x-2)-3x+26=(2x+1)(x+2) equation: 


Simplifying
(2x + -1)(x + -2) + -3x + 26 = (2x + 1)(x + 2)

Reorder the terms:
(-1 + 2x)(x + -2) + -3x + 26 = (2x + 1)(x + 2)

Reorder the terms:
(-1 + 2x)(-2 + x) + -3x + 26 = (2x + 1)(x + 2)

Multiply (-1 + 2x) * (-2 + x)
(-1(-2 + x) + 2x * (-2 + x)) + -3x + 26 = (2x + 1)(x + 2)
((-2 * -1 + x * -1) + 2x * (-2 + x)) + -3x + 26 = (2x + 1)(x + 2)
((2 + -1x) + 2x * (-2 + x)) + -3x + 26 = (2x + 1)(x + 2)
(2 + -1x + (-2 * 2x + x * 2x)) + -3x + 26 = (2x + 1)(x + 2)
(2 + -1x + (-4x + 2x2)) + -3x + 26 = (2x + 1)(x + 2)

Combine like terms: -1x + -4x = -5x
(2 + -5x + 2x2) + -3x + 26 = (2x + 1)(x + 2)

Reorder the terms:
2 + 26 + -5x + -3x + 2x2 = (2x + 1)(x + 2)

Combine like terms: 2 + 26 = 28
28 + -5x + -3x + 2x2 = (2x + 1)(x + 2)

Combine like terms: -5x + -3x = -8x
28 + -8x + 2x2 = (2x + 1)(x + 2)

Reorder the terms:
28 + -8x + 2x2 = (1 + 2x)(x + 2)

Reorder the terms:
28 + -8x + 2x2 = (1 + 2x)(2 + x)

Multiply (1 + 2x) * (2 + x)
28 + -8x + 2x2 = (1(2 + x) + 2x * (2 + x))
28 + -8x + 2x2 = ((2 * 1 + x * 1) + 2x * (2 + x))
28 + -8x + 2x2 = ((2 + 1x) + 2x * (2 + x))
28 + -8x + 2x2 = (2 + 1x + (2 * 2x + x * 2x))
28 + -8x + 2x2 = (2 + 1x + (4x + 2x2))

Combine like terms: 1x + 4x = 5x
28 + -8x + 2x2 = (2 + 5x + 2x2)

Add '-2x2' to each side of the equation.
28 + -8x + 2x2 + -2x2 = 2 + 5x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
28 + -8x + 0 = 2 + 5x + 2x2 + -2x2
28 + -8x = 2 + 5x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
28 + -8x = 2 + 5x + 0
28 + -8x = 2 + 5x

Solving
28 + -8x = 2 + 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.
28 + -8x + -5x = 2 + 5x + -5x

Combine like terms: -8x + -5x = -13x
28 + -13x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
28 + -13x = 2 + 0
28 + -13x = 2

Add '-28' to each side of the equation.
28 + -28 + -13x = 2 + -28

Combine like terms: 28 + -28 = 0
0 + -13x = 2 + -28
-13x = 2 + -28

Combine like terms: 2 + -28 = -26
-13x = -26

Divide each side by '-13'.
x = 2

Simplifying
x = 2

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