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\frac{\pi }{x}=\frac{3}{2}
Divide both sides by 2.
2\pi =3x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of x,2.
3x=2\pi
Swap sides so that all variable terms are on the left hand side.
\frac{3x}{3}=\frac{2\pi }{3}
Divide both sides by 3.
x=\frac{2\pi }{3}
Dividing by 3 undoes the multiplication by 3.
x=\frac{2\pi }{3}\text{, }x\neq 0
Variable x cannot be equal to 0.