Solve 2/x+1/3=5/x

$$\frac { 2 } { x } + \frac { 1 } { 3 } = \frac { 5 } { x }$$

Solve for x

$$x=9$$

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.

$$3\times 2+3x\times \frac{1}{3}=3\times 5$$

Multiply 3 and 2 to get 6.

$$6+3x\times \frac{1}{3}=3\times 5$$

Cancel out 3 and 3.

$$6+x=3\times 5$$

Multiply 3 and 5 to get 15.

$$6+x=15$$

Subtract 6 from both sides.

$$x=15-6$$

Subtract 6 from 15 to get 9.

$$x=9$$