3(5r-10)=8(2r-4)+5r

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Solution for 3(5r-10)=8(2r-4)+5r equation: 



3(5r-10)=8(2r-4)+5r

We move all terms to the left:

3(5r-10)-(8(2r-4)+5r)=0

We multiply parentheses

15r-(8(2r-4)+5r)-30=0



We calculate terms in parentheses: -(8(2r-4)+5r), so:

8(2r-4)+5r

We add all the numbers together, and all the variables

5r+8(2r-4)

We multiply parentheses

5r+16r-32

We add all the numbers together, and all the variables

21r-32

Back to the equation:

-(21r-32)



We get rid of parentheses

15r-21r+32-30=0

We add all the numbers together, and all the variables

-6r+2=0

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

-6r=-2

r=-2/-6

r=1/3

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