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