Solve 8sqrt{3}=1/213x

$$8 \sqrt{ 3 } = \frac{ 1 }{ 2 } 13x$$

Solve for x

$$x = \frac{16 \sqrt{3}}{13} \approx 2.13175484$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} and 13 to get \frac{13}{2}.

$$8\sqrt{3}=\frac{13}{2}x$$

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

$$\frac{13}{2}x=8\sqrt{3}$$

Divide both sides of the equation by \frac{13}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{13}{2}x}{\frac{13}{2}}=\frac{8\sqrt{3}}{\frac{13}{2}}$$

Dividing by \frac{13}{2} undoes the multiplication by \frac{13}{2}.

$$x=\frac{8\sqrt{3}}{\frac{13}{2}}$$

Divide 8\sqrt{3} by \frac{13}{2} by multiplying 8\sqrt{3} by the reciprocal of \frac{13}{2}.

$$x=\frac{16\sqrt{3}}{13}$$