(2x-3)(x^2+3x-2)=(x-1)(2x^2+5x-4)

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Solution for (2x-3)(x^2+3x-2)=(x-1)(2x^2+5x-4) equation: 


Simplifying
(2x + -3)(x2 + 3x + -2) = (x + -1)(2x2 + 5x + -4)

Reorder the terms:
(-3 + 2x)(x2 + 3x + -2) = (x + -1)(2x2 + 5x + -4)

Reorder the terms:
(-3 + 2x)(-2 + 3x + x2) = (x + -1)(2x2 + 5x + -4)

Multiply (-3 + 2x) * (-2 + 3x + x2)
(-3(-2 + 3x + x2) + 2x * (-2 + 3x + x2)) = (x + -1)(2x2 + 5x + -4)
((-2 * -3 + 3x * -3 + x2 * -3) + 2x * (-2 + 3x + x2)) = (x + -1)(2x2 + 5x + -4)
((6 + -9x + -3x2) + 2x * (-2 + 3x + x2)) = (x + -1)(2x2 + 5x + -4)
(6 + -9x + -3x2 + (-2 * 2x + 3x * 2x + x2 * 2x)) = (x + -1)(2x2 + 5x + -4)
(6 + -9x + -3x2 + (-4x + 6x2 + 2x3)) = (x + -1)(2x2 + 5x + -4)

Reorder the terms:
(6 + -9x + -4x + -3x2 + 6x2 + 2x3) = (x + -1)(2x2 + 5x + -4)

Combine like terms: -9x + -4x = -13x
(6 + -13x + -3x2 + 6x2 + 2x3) = (x + -1)(2x2 + 5x + -4)

Combine like terms: -3x2 + 6x2 = 3x2
(6 + -13x + 3x2 + 2x3) = (x + -1)(2x2 + 5x + -4)

Reorder the terms:
6 + -13x + 3x2 + 2x3 = (-1 + x)(2x2 + 5x + -4)

Reorder the terms:
6 + -13x + 3x2 + 2x3 = (-1 + x)(-4 + 5x + 2x2)

Multiply (-1 + x) * (-4 + 5x + 2x2)
6 + -13x + 3x2 + 2x3 = (-1(-4 + 5x + 2x2) + x(-4 + 5x + 2x2))
6 + -13x + 3x2 + 2x3 = ((-4 * -1 + 5x * -1 + 2x2 * -1) + x(-4 + 5x + 2x2))
6 + -13x + 3x2 + 2x3 = ((4 + -5x + -2x2) + x(-4 + 5x + 2x2))
6 + -13x + 3x2 + 2x3 = (4 + -5x + -2x2 + (-4 * x + 5x * x + 2x2 * x))
6 + -13x + 3x2 + 2x3 = (4 + -5x + -2x2 + (-4x + 5x2 + 2x3))

Reorder the terms:
6 + -13x + 3x2 + 2x3 = (4 + -5x + -4x + -2x2 + 5x2 + 2x3)

Combine like terms: -5x + -4x = -9x
6 + -13x + 3x2 + 2x3 = (4 + -9x + -2x2 + 5x2 + 2x3)

Combine like terms: -2x2 + 5x2 = 3x2
6 + -13x + 3x2 + 2x3 = (4 + -9x + 3x2 + 2x3)

Add '-3x2' to each side of the equation.
6 + -13x + 3x2 + -3x2 + 2x3 = 4 + -9x + 3x2 + -3x2 + 2x3

Combine like terms: 3x2 + -3x2 = 0
6 + -13x + 0 + 2x3 = 4 + -9x + 3x2 + -3x2 + 2x3
6 + -13x + 2x3 = 4 + -9x + 3x2 + -3x2 + 2x3

Combine like terms: 3x2 + -3x2 = 0
6 + -13x + 2x3 = 4 + -9x + 0 + 2x3
6 + -13x + 2x3 = 4 + -9x + 2x3

Add '-2x3' to each side of the equation.
6 + -13x + 2x3 + -2x3 = 4 + -9x + 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
6 + -13x + 0 = 4 + -9x + 2x3 + -2x3
6 + -13x = 4 + -9x + 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
6 + -13x = 4 + -9x + 0
6 + -13x = 4 + -9x

Solving
6 + -13x = 4 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
6 + -13x + 9x = 4 + -9x + 9x

Combine like terms: -13x + 9x = -4x
6 + -4x = 4 + -9x + 9x

Combine like terms: -9x + 9x = 0
6 + -4x = 4 + 0
6 + -4x = 4

Add '-6' to each side of the equation.
6 + -6 + -4x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 4 + -6
-4x = 4 + -6

Combine like terms: 4 + -6 = -2
-4x = -2

Divide each side by '-4'.
x = 0.5

Simplifying
x = 0.5

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