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2\times 2x=6\pi +3\pi
Multiply both sides of the equation by 6, the least common multiple of 3,2.
4x=6\pi +3\pi
Multiply 2 and 2 to get 4.
4x=9\pi
Combine 6\pi and 3\pi to get 9\pi .
\frac{4x}{4}=\frac{9\pi }{4}
Divide both sides by 4.
x=\frac{9\pi }{4}
Dividing by 4 undoes the multiplication by 4.