2(x-1)(x-3)-5=(2x-1)(x+3)

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Solution for 2(x-1)(x-3)-5=(2x-1)(x+3) equation: 


Simplifying
2(x + -1)(x + -3) + -5 = (2x + -1)(x + 3)

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

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

Multiply (-1 + x) * (-3 + x)
2(-1(-3 + x) + x(-3 + x)) + -5 = (2x + -1)(x + 3)
2((-3 * -1 + x * -1) + x(-3 + x)) + -5 = (2x + -1)(x + 3)
2((3 + -1x) + x(-3 + x)) + -5 = (2x + -1)(x + 3)
2(3 + -1x + (-3 * x + x * x)) + -5 = (2x + -1)(x + 3)
2(3 + -1x + (-3x + x2)) + -5 = (2x + -1)(x + 3)

Combine like terms: -1x + -3x = -4x
2(3 + -4x + x2) + -5 = (2x + -1)(x + 3)
(3 * 2 + -4x * 2 + x2 * 2) + -5 = (2x + -1)(x + 3)
(6 + -8x + 2x2) + -5 = (2x + -1)(x + 3)

Reorder the terms:
6 + -5 + -8x + 2x2 = (2x + -1)(x + 3)

Combine like terms: 6 + -5 = 1
1 + -8x + 2x2 = (2x + -1)(x + 3)

Reorder the terms:
1 + -8x + 2x2 = (-1 + 2x)(x + 3)

Reorder the terms:
1 + -8x + 2x2 = (-1 + 2x)(3 + x)

Multiply (-1 + 2x) * (3 + x)
1 + -8x + 2x2 = (-1(3 + x) + 2x * (3 + x))
1 + -8x + 2x2 = ((3 * -1 + x * -1) + 2x * (3 + x))
1 + -8x + 2x2 = ((-3 + -1x) + 2x * (3 + x))
1 + -8x + 2x2 = (-3 + -1x + (3 * 2x + x * 2x))
1 + -8x + 2x2 = (-3 + -1x + (6x + 2x2))

Combine like terms: -1x + 6x = 5x
1 + -8x + 2x2 = (-3 + 5x + 2x2)

Add '-2x2' to each side of the equation.
1 + -8x + 2x2 + -2x2 = -3 + 5x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
1 + -8x + 0 = -3 + 5x + 2x2 + -2x2
1 + -8x = -3 + 5x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
1 + -8x = -3 + 5x + 0
1 + -8x = -3 + 5x

Solving
1 + -8x = -3 + 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 + -8x + -5x = -3 + 5x + -5x

Combine like terms: -8x + -5x = -13x
1 + -13x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + -13x = -3 + 0
1 + -13x = -3

Add '-1' to each side of the equation.
1 + -1 + -13x = -3 + -1

Combine like terms: 1 + -1 = 0
0 + -13x = -3 + -1
-13x = -3 + -1

Combine like terms: -3 + -1 = -4
-13x = -4

Divide each side by '-13'.
x = 0.3076923077

Simplifying
x = 0.3076923077

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