Solve x-50/x=1/3

$$\frac { x - 50 } { x } = \frac { 1 } { 3 }$$

Solve for x

$$x=75$$

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.

$$3\left(x-50\right)=x$$

Use the distributive property to multiply 3 by x-50.

$$3x-150=x$$

Subtract x from both sides.

$$3x-150-x=0$$

Combine 3x and -x to get 2x.

$$2x-150=0$$

Add 150 to both sides. Anything plus zero gives itself.

$$2x=150$$

Divide both sides by 2.

$$x=\frac{150}{2}$$

Divide 150 by 2 to get 75.

$$x=75$$