5(x-13)=3(5-x)

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Solution for 5(x-13)=3(5-x) equation: 



5(x-13)=3(5-x)

We move all terms to the left:

5(x-13)-(3(5-x))=0

We add all the numbers together, and all the variables

5(x-13)-(3(-1x+5))=0

We multiply parentheses

5x-(3(-1x+5))-65=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

5x+3x-15-65=0

We add all the numbers together, and all the variables

8x-80=0

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

8x=80

x=80/8

x=10

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