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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

4x-(3(-1x+5))-6=0



We calculate terms in parentheses: -(3(-1x+5)), so:

3(-1x+5)

We multiply parentheses

-3x+15

Back to the equation:

-(-3x+15)



We get rid of parentheses

4x+3x-15-6=0

We add all the numbers together, and all the variables

7x-21=0

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

7x=21

x=21/7

x=3

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