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