(2x+1)(3x-1)=(6x+5)(x+1)

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Solution for (2x+1)(3x-1)=(6x+5)(x+1) equation:



(2x+1)(3x-1)=(6x+5)(x+1)
We move all terms to the left:
(2x+1)(3x-1)-((6x+5)(x+1))=0
We multiply parentheses ..
(+6x^2-2x+3x-1)-((6x+5)(x+1))=0
We calculate terms in parentheses: -((6x+5)(x+1)), so:
(6x+5)(x+1)
We multiply parentheses ..
(+6x^2+6x+5x+5)
We get rid of parentheses
6x^2+6x+5x+5
We add all the numbers together, and all the variables
6x^2+11x+5
Back to the equation:
-(6x^2+11x+5)
We get rid of parentheses
6x^2-6x^2-2x+3x-11x-1-5=0
We add all the numbers together, and all the variables
-10x-6=0
We move all terms containing x to the left, all other terms to the right
-10x=6
x=6/-10
x=-3/5

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