Solve frac{4sqrt{2}}{3}=frac{sqrt{3}}{2}x

$$\frac { 4 \sqrt { 2 } } { 3 } = \frac { \sqrt { 3 } } { 2 } x$$

Solve for x

$$x = \frac{8 \sqrt{6}}{9} \approx 2.177324216$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$2\times 4\sqrt{2}=3\sqrt{3}x$$

Multiply 2 and 4 to get 8.

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

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

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

Divide both sides by 3\sqrt{3}.

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

Dividing by 3\sqrt{3} undoes the multiplication by 3\sqrt{3}.

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

Divide 8\sqrt{2} by 3\sqrt{3}.

$$x=\frac{8\sqrt{6}}{9}$$