(4x-3)(3x+2)=(2x-1)(6x-4)

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Solution for (4x-3)(3x+2)=(2x-1)(6x-4) equation:



(4x-3)(3x+2)=(2x-1)(6x-4)
We move all terms to the left:
(4x-3)(3x+2)-((2x-1)(6x-4))=0
We multiply parentheses ..
(+12x^2+8x-9x-6)-((2x-1)(6x-4))=0
We calculate terms in parentheses: -((2x-1)(6x-4)), so:
(2x-1)(6x-4)
We multiply parentheses ..
(+12x^2-8x-6x+4)
We get rid of parentheses
12x^2-8x-6x+4
We add all the numbers together, and all the variables
12x^2-14x+4
Back to the equation:
-(12x^2-14x+4)
We get rid of parentheses
12x^2-12x^2+8x-9x+14x-6-4=0
We add all the numbers together, and all the variables
13x-10=0
We move all terms containing x to the left, all other terms to the right
13x=10
x=10/13
x=10/13

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