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2x/3+x+1/6=5x-17/2
We move all terms to the left:
2x/3+x+1/6-(5x-17/2)=0
We add all the numbers together, and all the variables
2x/3+x-(+5x-17/2)+1/6=0
We add all the numbers together, and all the variables
x+2x/3-(+5x-17/2)+1/6=0
We get rid of parentheses
x+2x/3-5x+17/2+1/6=0
We calculate fractions
There is no solution for this equation
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