Solve for k
k=3-2x
Solve for x
x=\frac{3-k}{2}
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-2k+3=4x-3
Swap sides so that all variable terms are on the left hand side.
-2k=4x-3-3
Subtract 3 from both sides.
-2k=4x-6
Subtract 3 from -3 to get -6.
\frac{-2k}{-2}=\frac{4x-6}{-2}
Divide both sides by -2.
k=\frac{4x-6}{-2}
Dividing by -2 undoes the multiplication by -2.
k=3-2x
Divide 4x-6 by -2.
4x=-2k+3+3
Add 3 to both sides.
4x=-2k+6
Add 3 and 3 to get 6.
4x=6-2k
The equation is in standard form.
\frac{4x}{4}=\frac{6-2k}{4}
Divide both sides by 4.
x=\frac{6-2k}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{3-k}{2}
Divide -2k+6 by 4.
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