(4x+3)*(6x-5)=(2x+3)*(12x-13)

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Solution for (4x+3)*(6x-5)=(2x+3)*(12x-13) equation:



(4x+3)(6x-5)=(2x+3)(12x-13)
We move all terms to the left:
(4x+3)(6x-5)-((2x+3)(12x-13))=0
We multiply parentheses ..
(+24x^2-20x+18x-15)-((2x+3)(12x-13))=0
We calculate terms in parentheses: -((2x+3)(12x-13)), so:
(2x+3)(12x-13)
We multiply parentheses ..
(+24x^2-26x+36x-39)
We get rid of parentheses
24x^2-26x+36x-39
We add all the numbers together, and all the variables
24x^2+10x-39
Back to the equation:
-(24x^2+10x-39)
We get rid of parentheses
24x^2-24x^2-20x+18x-10x-15+39=0
We add all the numbers together, and all the variables
-12x+24=0
We move all terms containing x to the left, all other terms to the right
-12x=-24
x=-24/-12
x=+2

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