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5\pi -2\left(2x-3\right)=500
Multiply both sides of the equation by 10, the least common multiple of 2,5.
5\pi -4x+6=500
Use the distributive property to multiply -2 by 2x-3.
-4x+6=500-5\pi
Subtract 5\pi from both sides.
-4x=500-5\pi -6
Subtract 6 from both sides.
-4x=494-5\pi
Subtract 6 from 500 to get 494.
\frac{-4x}{-4}=\frac{494-5\pi }{-4}
Divide both sides by -4.
x=\frac{494-5\pi }{-4}
Dividing by -4 undoes the multiplication by -4.
x=\frac{5\pi }{4}-\frac{247}{2}
Divide 494-5\pi by -4.