2(4x-5)=7(3-x)

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Solution for 2(4x-5)=7(3-x) equation: 



2(4x-5)=7(3-x)

We move all terms to the left:

2(4x-5)-(7(3-x))=0

We add all the numbers together, and all the variables

2(4x-5)-(7(-1x+3))=0

We multiply parentheses

8x-(7(-1x+3))-10=0



We calculate terms in parentheses: -(7(-1x+3)), so:

7(-1x+3)

We multiply parentheses

-7x+21

Back to the equation:

-(-7x+21)



We get rid of parentheses

8x+7x-21-10=0

We add all the numbers together, and all the variables

15x-31=0

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

15x=31

x=31/15

x=2+1/15

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