Solve 2/3x-1=3/x

$$\frac { 2 } { 3 x - 1 } = \frac { 3 } { x }$$

Solve for x

$$x=\frac{3}{7}\approx 0.428571429$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values 0,\frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by x\left(3x-1\right), the least common multiple of 3x-1,x.

$$x\times 2=\left(3x-1\right)\times 3$$

Use the distributive property to multiply 3x-1 by 3.

$$x\times 2=9x-3$$

Subtract 9x from both sides.

$$x\times 2-9x=-3$$

Combine x\times 2 and -9x to get -7x.

$$-7x=-3$$

Divide both sides by -7.

$$x=\frac{-3}{-7}$$

Fraction \frac{-3}{-7} can be simplified to \frac{3}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{3}{7}$$