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

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

Solve for x

$$x=1$$

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,3x.

$$3\times 5+x-1=15x$$

Multiply 3 and 5 to get 15.

$$15+x-1=15x$$

Subtract 1 from 15 to get 14.

$$14+x=15x$$

Subtract 15x from both sides.

$$14+x-15x=0$$

Combine x and -15x to get -14x.

$$14-14x=0$$

Subtract 14 from both sides. Anything subtracted from zero gives its negation.

$$-14x=-14$$

Divide both sides by -14.

$$x=\frac{-14}{-14}$$

Divide -14 by -14 to get 1.

$$x=1$$