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

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



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

We move all terms to the left:

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

We multiply parentheses

2x-(3(5x-2))+8=0



We calculate terms in parentheses: -(3(5x-2)), so:

3(5x-2)

We multiply parentheses

15x-6

Back to the equation:

-(15x-6)



We get rid of parentheses

2x-15x+6+8=0

We add all the numbers together, and all the variables

-13x+14=0

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

-13x=-14

x=-14/-13

x=1+1/13

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