Solve 1/sqrt{3}=frac{10sqrt{3}}{30-x}

$$\frac { 1 } { \sqrt { 3 } } = \frac { 10 \sqrt { 3 } } { 30 - x }$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Variable x cannot be equal to 30 since division by zero is not defined. Multiply both sides of the equation by -x+30.

$$\frac{1}{3}\left(-x+30\right)\times 3^{\frac{1}{2}}=10\sqrt{3}$$

Use the distributive property to multiply \frac{1}{3} by -x+30.

$$\left(-\frac{1}{3}x+10\right)\times 3^{\frac{1}{2}}=10\sqrt{3}$$

Use the distributive property to multiply -\frac{1}{3}x+10 by 3^{\frac{1}{2}}.

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

Subtract 10\times 3^{\frac{1}{2}} from both sides.

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

Reorder the terms.

$$-\frac{1}{3}\sqrt{3}x=10\sqrt{3}-10\sqrt{3}$$

Combine 10\sqrt{3} and -10\sqrt{3} to get 0.

$$-\frac{1}{3}\sqrt{3}x=0$$

The equation is in standard form.

$$\left(-\frac{\sqrt{3}}{3}\right)x=0$$

Divide 0 by -\frac{1}{3}\sqrt{3}.

$$x=0$$