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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

6x-(4(-1x+5))+2=0



We calculate terms in parentheses: -(4(-1x+5)), so:

4(-1x+5)

We multiply parentheses

-4x+20

Back to the equation:

-(-4x+20)



We get rid of parentheses

6x+4x-20+2=0

We add all the numbers together, and all the variables

10x-18=0

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

10x=18

x=18/10

x=1+4/5

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