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3x+0.5=4.35
Swap sides so that all variable terms are on the left hand side.
3x=4.35-0.5
Subtract 0.5 from both sides.
3x=3.85
Subtract 0.5 from 4.35 to get 3.85.
x=\frac{3.85}{3}
Divide both sides by 3.
x=\frac{385}{300}
Expand \frac{3.85}{3} by multiplying both numerator and the denominator by 100.
x=\frac{77}{60}
Reduce the fraction \frac{385}{300} to lowest terms by extracting and canceling out 5.