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

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



(2x-1)(2-3x)=(2-3x)(2x-3)
We move all terms to the left:
(2x-1)(2-3x)-((2-3x)(2x-3))=0
We add all the numbers together, and all the variables
(2x-1)(-3x+2)-((-3x+2)(2x-3))=0
We multiply parentheses ..
(-6x^2+4x+3x-2)-((-3x+2)(2x-3))=0
We calculate terms in parentheses: -((-3x+2)(2x-3)), so:
(-3x+2)(2x-3)
We multiply parentheses ..
(-6x^2+9x+4x-6)
We get rid of parentheses
-6x^2+9x+4x-6
We add all the numbers together, and all the variables
-6x^2+13x-6
Back to the equation:
-(-6x^2+13x-6)
We get rid of parentheses
-6x^2+6x^2+4x+3x-13x-2+6=0
We add all the numbers together, and all the variables
-6x+4=0
We move all terms containing x to the left, all other terms to the right
-6x=-4
x=-4/-6
x=2/3

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