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5x/3+3=8

We move all terms to the left:

5x/3+3-(8)=0

We add all the numbers together, and all the variables

5x/3-5=0

We multiply all the terms by the denominator

5x-5*3=0

We add all the numbers together, and all the variables

5x-15=0

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

5x=15

x=15/5

x=3

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