(3x-4)(5x-12)-9(2x-7)=(3x-12)(5x-5)

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Solution for (3x-4)(5x-12)-9(2x-7)=(3x-12)(5x-5) equation:



(3x-4)(5x-12)-9(2x-7)=(3x-12)(5x-5)
We move all terms to the left:
(3x-4)(5x-12)-9(2x-7)-((3x-12)(5x-5))=0
We multiply parentheses
(3x-4)(5x-12)-18x-((3x-12)(5x-5))+63=0
We multiply parentheses ..
(+15x^2-36x-20x+48)-18x-((3x-12)(5x-5))+63=0
We calculate terms in parentheses: -((3x-12)(5x-5)), so:
(3x-12)(5x-5)
We multiply parentheses ..
(+15x^2-15x-60x+60)
We get rid of parentheses
15x^2-15x-60x+60
We add all the numbers together, and all the variables
15x^2-75x+60
Back to the equation:
-(15x^2-75x+60)
We get rid of parentheses
15x^2-15x^2-36x-20x-18x+75x+48-60+63=0
We add all the numbers together, and all the variables
x+51=0
We move all terms containing x to the left, all other terms to the right
x=-51

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