Solve 33=1/2(sqrt{3})*x

$$33 = \frac { 1 } { 2 } ( \sqrt { 3 } ) \cdot x$$

Solve for x

$$x=22\sqrt{3}\approx 38.105117767$$

Steps for Solving Linear Equation

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

$$\frac{1}{2}\sqrt{3}x=33$$

The equation is in standard form.

$$\frac{\sqrt{3}}{2}x=33$$

Divide both sides by \frac{1}{2}\sqrt{3}.

$$\frac{2\times \frac{\sqrt{3}}{2}x}{\sqrt{3}}=\frac{2\times 33}{\sqrt{3}}$$

Dividing by \frac{1}{2}\sqrt{3} undoes the multiplication by \frac{1}{2}\sqrt{3}.

$$x=\frac{2\times 33}{\sqrt{3}}$$

Divide 33 by \frac{1}{2}\sqrt{3}.

$$x=22\sqrt{3}$$