Solve for k
k=\frac{3y}{2}-x-6
Solve for x
x=\frac{3y}{2}-k-6
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2k=-2x+3y-12
Swap sides so that all variable terms are on the left hand side.
\frac{2k}{2}=\frac{-2x+3y-12}{2}
Divide both sides by 2.
k=\frac{-2x+3y-12}{2}
Dividing by 2 undoes the multiplication by 2.
k=\frac{3y}{2}-x-6
Divide -2x+3y-12 by 2.
-2x-12=2k-3y
Subtract 3y from both sides.
-2x=2k-3y+12
Add 12 to both sides.
-2x=12+2k-3y
The equation is in standard form.
\frac{-2x}{-2}=\frac{12+2k-3y}{-2}
Divide both sides by -2.
x=\frac{12+2k-3y}{-2}
Dividing by -2 undoes the multiplication by -2.
x=\frac{3y}{2}-k-6
Divide 2k-3y+12 by -2.
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