Solve x/3x-1=2/1

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

Solve for x

$$x=\frac{2}{5}=0.4$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by 3x-1.

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

Use the distributive property to multiply 3x-1 by 2.

$$x=6x-2$$

Subtract 6x from both sides.

$$x-6x=-2$$

Combine x and -6x to get -5x.

$$-5x=-2$$

Divide both sides by -5.

$$x=\frac{-2}{-5}$$

Fraction \frac{-2}{-5} can be simplified to \frac{2}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{2}{5}$$