Solve 2/x+1/3=4

$$\frac { 2 } { x } + \frac { 1 } { 3 } = 4$$

Solve for x

$$x=\frac{6}{11}\approx 0.545454545$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x, the least common multiple of x,3.

$$3\times 2+3x\times \frac{1}{3}=12x$$

Multiply 3 and 2 to get 6.

$$6+3x\times \frac{1}{3}=12x$$

Cancel out 3 and 3.

$$6+x=12x$$

Subtract 12x from both sides.

$$6+x-12x=0$$

Combine x and -12x to get -11x.

$$6-11x=0$$

Subtract 6 from both sides. Anything subtracted from zero gives its negation.

$$-11x=-6$$

Divide both sides by -11.

$$x=\frac{-6}{-11}$$

Fraction \frac{-6}{-11} can be simplified to \frac{6}{11} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{6}{11}$$