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8x-\pi =-2\sqrt{2}
Multiply both sides of the equation by 4, the least common multiple of 4,2.
8x=-2\sqrt{2}+\pi
Add \pi to both sides.
8x=\pi -2\sqrt{2}
The equation is in standard form.
\frac{8x}{8}=\frac{\pi -2\sqrt{2}}{8}
Divide both sides by 8.
x=\frac{\pi -2\sqrt{2}}{8}
Dividing by 8 undoes the multiplication by 8.
x=\frac{\pi }{8}-\frac{\sqrt{2}}{4}
Divide -2\sqrt{2}+\pi by 8.