Solve 20/x=frac{10sqrt{3}}{frac{sqrt{3}}{2}}

$$\frac { 20 } { x } = \frac { 10 \sqrt { 3 } } { \frac { \sqrt { 3 } } { 2 } }$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$20=\frac{2}{3}x\times 3^{\frac{1}{2}}\times 10\sqrt{3}$$

Express \frac{2}{3}\times 10 as a single fraction.

$$20=\frac{2\times 10}{3}x\times 3^{\frac{1}{2}}\sqrt{3}$$

Multiply 2 and 10 to get 20.

$$20=\frac{20}{3}x\times 3^{\frac{1}{2}}\sqrt{3}$$

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

$$\frac{20}{3}x\times 3^{\frac{1}{2}}\sqrt{3}=20$$

Reorder the terms.

$$\frac{20}{3}\sqrt{3}\sqrt{3}x=20$$

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$\frac{20}{3}\times 3x=20$$

Cancel out 3 and 3.

$$20x=20$$

Divide both sides by 20.

$$x=\frac{20}{20}$$

Divide 20 by 20 to get 1.

$$x=1$$