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

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



(4x-3)(2x+1)=4(x-3)(2x-5)
We move all terms to the left:
(4x-3)(2x+1)-(4(x-3)(2x-5))=0
We multiply parentheses ..
(+8x^2+4x-6x-3)-(4(x-3)(2x-5))=0
We calculate terms in parentheses: -(4(x-3)(2x-5)), so:
4(x-3)(2x-5)
We multiply parentheses ..
4(+2x^2-5x-6x+15)
We multiply parentheses
8x^2-20x-24x+60
We add all the numbers together, and all the variables
8x^2-44x+60
Back to the equation:
-(8x^2-44x+60)
We get rid of parentheses
8x^2-8x^2+4x-6x+44x-3-60=0
We add all the numbers together, and all the variables
42x-63=0
We move all terms containing x to the left, all other terms to the right
42x=63
x=63/42
x=1+1/2

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