Solve xdiv(7/3*21/2-21)=sqrt{(5/3}+4/3-frac{2}{6}

$$x \div ( \frac{ 7 }{ 3 } \times \frac{ 21 }{ 2 } -21)= \sqrt{ ( \frac{ 5 }{ 3 } } + \frac{ 4 }{ 3 } - \frac{ 2 }{ 6 }$$

Solve for x

$$x = \frac{7 \sqrt{6}}{3} \approx 5.715476066$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{2}{7}x=\sqrt{\frac{8}{3}}$$

Divide both sides of the equation by \frac{2}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2}{7}x}{\frac{2}{7}}=\frac{2\sqrt{6}}{\frac{2}{7}\times 3}$$

Dividing by \frac{2}{7} undoes the multiplication by \frac{2}{7}.

$$x=\frac{2\sqrt{6}}{\frac{2}{7}\times 3}$$

Divide \frac{2\sqrt{6}}{3} by \frac{2}{7} by multiplying \frac{2\sqrt{6}}{3} by the reciprocal of \frac{2}{7}.

$$x=\frac{7\sqrt{6}}{3}$$