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3x=a-5y
Subtract 5y from both sides.
\frac{3x}{3}=\frac{a-5y}{3}
Divide both sides by 3.
x=\frac{a-5y}{3}
Dividing by 3 undoes the multiplication by 3.
a=3x+5y
Swap sides so that all variable terms are on the left hand side.