Solve for k
k=\frac{3x-5y}{2}
Solve for x
x=\frac{5y+2k}{3}
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2k=3x-5y
Swap sides so that all variable terms are on the left hand side.
\frac{2k}{2}=\frac{3x-5y}{2}
Divide both sides by 2.
k=\frac{3x-5y}{2}
Dividing by 2 undoes the multiplication by 2.
3x=2k+5y
Add 5y to both sides.
3x=5y+2k
The equation is in standard form.
\frac{3x}{3}=\frac{5y+2k}{3}
Divide both sides by 3.
x=\frac{5y+2k}{3}
Dividing by 3 undoes the multiplication by 3.
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