Solve for k
k=\frac{x}{\pi }+\frac{1}{6}
Solve for x
x=\pi k-\frac{\pi }{6}
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6x-2\pi =-3\pi +6\pi k
Multiply both sides of the equation by 3.
-3\pi +6\pi k=6x-2\pi
Swap sides so that all variable terms are on the left hand side.
6\pi k=6x-2\pi +3\pi
Add 3\pi to both sides.
6\pi k=6x+\pi
Combine -2\pi and 3\pi to get \pi .
\frac{6\pi k}{6\pi }=\frac{6x+\pi }{6\pi }
Divide both sides by 6\pi .
k=\frac{6x+\pi }{6\pi }
Dividing by 6\pi undoes the multiplication by 6\pi .
k=\frac{x}{\pi }+\frac{1}{6}
Divide 6x+\pi by 6\pi .
6x-2\pi =-3\pi +6\pi k
Multiply both sides of the equation by 3.
6x=-3\pi +6\pi k+2\pi
Add 2\pi to both sides.
6x=-\pi +6\pi k
Combine -3\pi and 2\pi to get -\pi .
6x=6\pi k-\pi
The equation is in standard form.
\frac{6x}{6}=\frac{\pi \left(6k-1\right)}{6}
Divide both sides by 6.
x=\frac{\pi \left(6k-1\right)}{6}
Dividing by 6 undoes the multiplication by 6.
x=\pi k-\frac{\pi }{6}
Divide \pi \left(-1+6k\right) by 6.
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