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

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



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

We move all terms to the left:

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

We multiply parentheses

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



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

3(x-5)

We multiply parentheses

3x-15

Back to the equation:

-(3x-15)



We get rid of parentheses

2x-3x+15-6=0

We add all the numbers together, and all the variables

-1x+9=0

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

-x=-9

x=-9/-1

x=+9

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