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

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



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

We move all terms to the left:

2(3x+1)-(-3(4x-5))=0

We multiply parentheses

6x-(-3(4x-5))+2=0



We calculate terms in parentheses: -(-3(4x-5)), so:

-3(4x-5)

We multiply parentheses

-12x+15

Back to the equation:

-(-12x+15)



We get rid of parentheses

6x+12x-15+2=0

We add all the numbers together, and all the variables

18x-13=0

We move all terms containing x to the left, all other terms to the right

18x=13

x=13/18

x=13/18

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