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3x+0.5=6
Swap sides so that all variable terms are on the left hand side.
3x=6-0.5
Subtract 0.5 from both sides.
3x=5.5
Subtract 0.5 from 6 to get 5.5.
x=\frac{5.5}{3}
Divide both sides by 3.
x=\frac{55}{30}
Expand \frac{5.5}{3} by multiplying both numerator and the denominator by 10.
x=\frac{11}{6}
Reduce the fraction \frac{55}{30} to lowest terms by extracting and canceling out 5.