Solve 3x+2/3x=4sqrt{3}

$$3 x + 2 / 3 x = 4 \sqrt { 3 }$$

Solve for x

$$x = \frac{12 \sqrt{3}}{11} \approx 1.889509972$$

Steps for Solving Linear Equation

Combine 3x and \frac{2}{3}x to get \frac{11}{3}x.

$$\frac{11}{3}x=4\sqrt{3}$$

Divide both sides of the equation by \frac{11}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{11}{3}x}{\frac{11}{3}}=\frac{4\sqrt{3}}{\frac{11}{3}}$$

Dividing by \frac{11}{3} undoes the multiplication by \frac{11}{3}.

$$x=\frac{4\sqrt{3}}{\frac{11}{3}}$$

Divide 4\sqrt{3} by \frac{11}{3} by multiplying 4\sqrt{3} by the reciprocal of \frac{11}{3}.

$$x=\frac{12\sqrt{3}}{11}$$