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4x+5=-2\pi
Subtract 2\pi from both sides. Anything subtracted from zero gives its negation.
4x=-2\pi -5
Subtract 5 from both sides.
\frac{4x}{4}=\frac{-2\pi -5}{4}
Divide both sides by 4.
x=\frac{-2\pi -5}{4}
Dividing by 4 undoes the multiplication by 4.
x=-\frac{\pi }{2}-\frac{5}{4}
Divide -2\pi -5 by 4.