Solve for s
s=-ix-\frac{\pi i}{2}
Solve for x
x=is-\frac{\pi }{2}
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2x+\pi =2si
Multiply both sides of the equation by 2.
2x+\pi =2is
Multiply 2 and i to get 2i.
2is=2x+\pi
Swap sides so that all variable terms are on the left hand side.
\frac{2is}{2i}=\frac{2x+\pi }{2i}
Divide both sides by 2i.
s=\frac{2x+\pi }{2i}
Dividing by 2i undoes the multiplication by 2i.
s=-ix-\frac{\pi i}{2}
Divide 2x+\pi by 2i.
2x+\pi =2si
Multiply both sides of the equation by 2.
2x+\pi =2is
Multiply 2 and i to get 2i.
2x=2is-\pi
Subtract \pi from both sides.
\frac{2x}{2}=\frac{2is-\pi }{2}
Divide both sides by 2.
x=\frac{2is-\pi }{2}
Dividing by 2 undoes the multiplication by 2.
x=is-\frac{\pi }{2}
Divide 2is-\pi by 2.
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