Solve 2(9/4pi-9/2)+9-(9pi-2(9/4pi-9/2))=x

$$2( \frac{ 9 }{ 4 } \pi - \frac{ 9 }{ 2 } )+9-(9 \pi -2( \frac{ 9 }{ 4 } \pi - \frac{ 9 }{ 2 } ))=x$$

Solve for x

$$x=-9$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by \frac{9}{4}\pi -\frac{9}{2}.

$$2\times \frac{9}{4}\pi +2\left(-\frac{9}{2}\right)+9-\left(9\pi -2\left(\frac{9}{4}\pi -\frac{9}{2}\right)\right)=x$$

Express 2\times \frac{9}{4} as a single fraction.

$$\frac{2\times 9}{4}\pi +2\left(-\frac{9}{2}\right)+9-\left(9\pi -2\left(\frac{9}{4}\pi -\frac{9}{2}\right)\right)=x$$

Multiply 2 and 9 to get 18.

$$\frac{18}{4}\pi +2\left(-\frac{9}{2}\right)+9-\left(9\pi -2\left(\frac{9}{4}\pi -\frac{9}{2}\right)\right)=x$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}\pi +2\left(-\frac{9}{2}\right)+9-\left(9\pi -2\left(\frac{9}{4}\pi -\frac{9}{2}\right)\right)=x$$

Cancel out 2 and 2.

$$\frac{9}{2}\pi -9+9-\left(9\pi -2\left(\frac{9}{4}\pi -\frac{9}{2}\right)\right)=x$$

Add -9 and 9 to get 0.

$$\frac{9}{2}\pi -\left(9\pi -2\left(\frac{9}{4}\pi -\frac{9}{2}\right)\right)=x$$

Swap sides so that all variable terms are on the left hand side.

$$x=\frac{9}{2}\pi -\left(9\pi -2\left(\frac{9}{4}\pi -\frac{9}{2}\right)\right)$$

Use the distributive property to multiply -2 by \frac{9}{4}\pi -\frac{9}{2}.

$$x=\frac{9}{2}\pi -\left(9\pi -2\times \frac{9}{4}\pi -2\left(-\frac{9}{2}\right)\right)$$

Express -2\times \frac{9}{4} as a single fraction.

$$x=\frac{9}{2}\pi -\left(9\pi +\frac{-2\times 9}{4}\pi -2\left(-\frac{9}{2}\right)\right)$$

Multiply -2 and 9 to get -18.

$$x=\frac{9}{2}\pi -\left(9\pi +\frac{-18}{4}\pi -2\left(-\frac{9}{2}\right)\right)$$

Reduce the fraction \frac{-18}{4} to lowest terms by extracting and canceling out 2.

$$x=\frac{9}{2}\pi -\left(9\pi -\frac{9}{2}\pi -2\left(-\frac{9}{2}\right)\right)$$

Multiply -2 times -\frac{9}{2}.

$$x=\frac{9}{2}\pi -\left(9\pi -\frac{9}{2}\pi +9\right)$$

Combine 9\pi and -\frac{9}{2}\pi to get \frac{9}{2}\pi .

$$x=\frac{9}{2}\pi -\left(\frac{9}{2}\pi +9\right)$$

To find the opposite of \frac{9}{2}\pi +9, find the opposite of each term.

$$x=\frac{9}{2}\pi -\frac{9}{2}\pi -9$$

Combine \frac{9}{2}\pi and -\frac{9}{2}\pi to get 0.

$$x=-9$$