Solve 270pi=15/2(2(2pix)+(14)(1))

$$270 \pi = \frac{ 15 }{ 2 } (2(2 \pi x)+(14)(1))$$

Solve for x

$$x=-\frac{7}{2\pi }+9\approx 7.885915398$$

Steps for Solving Linear Equation

Multiply 2 and 2 to get 4. Multiply 14 and 1 to get 14.

$$270\pi =\frac{15}{2}\left(4\pi x+14\right)$$

Use the distributive property to multiply \frac{15}{2} by 4\pi x+14.

$$270\pi =\frac{15}{2}\times 4\pi x+\frac{15}{2}\times 14$$

Express \frac{15}{2}\times 4 as a single fraction.

$$270\pi =\frac{15\times 4}{2}\pi x+\frac{15}{2}\times 14$$

Multiply 15 and 4 to get 60.

$$270\pi =\frac{60}{2}\pi x+\frac{15}{2}\times 14$$

Divide 60 by 2 to get 30.

$$270\pi =30\pi x+\frac{15}{2}\times 14$$

Express \frac{15}{2}\times 14 as a single fraction.

$$270\pi =30\pi x+\frac{15\times 14}{2}$$

Multiply 15 and 14 to get 210.

$$270\pi =30\pi x+\frac{210}{2}$$

Divide 210 by 2 to get 105.

$$270\pi =30\pi x+105$$

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

$$30\pi x+105=270\pi$$

Subtract 105 from both sides.

$$30\pi x=270\pi -105$$

Divide both sides by 30\pi .

$$\frac{30\pi x}{30\pi }=\frac{270\pi -105}{30\pi }$$

Dividing by 30\pi undoes the multiplication by 30\pi .

$$x=\frac{270\pi -105}{30\pi }$$

Divide 270\pi -105 by 30\pi .

$$x=-\frac{7}{2\pi }+9$$