Solve x/2=4/3pi2sqrt2^3

$$\frac { x } { 2 } = \frac { 4 } { 3 } \pi 2 \sqrt { 2 } ^ { 3 }$$

Solve for x

$$x = \frac{32 \pi \sqrt{2}}{3} \approx 47.39075134$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{1}{2}x=\frac{8\pi \left(\sqrt{2}\right)^{3}}{3}$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{16\pi \sqrt{2}}{\frac{1}{2}\times 3}$$

Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.

$$x=\frac{16\pi \sqrt{2}}{\frac{1}{2}\times 3}$$

Divide \frac{16\pi \sqrt{2}}{3} by \frac{1}{2} by multiplying \frac{16\pi \sqrt{2}}{3} by the reciprocal of \frac{1}{2}.

$$x=\frac{32\pi \sqrt{2}}{3}$$