Solve 1/9-1/36=1/x

$$\frac { 1 } { 9 } - \frac { 1 } { 36 } = \frac { 1 } { x }$$

Solve for x

$$x=12$$

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 36x, the least common multiple of 9,36,x.

$$36x\times \frac{1}{9}+36x\left(-\frac{1}{36}\right)=36$$

Multiply 36 and \frac{1}{9} to get \frac{36}{9}.

$$\frac{36}{9}x+36x\left(-\frac{1}{36}\right)=36$$

Divide 36 by 9 to get 4.

$$4x+36x\left(-\frac{1}{36}\right)=36$$

Cancel out 36 and 36.

$$4x-x=36$$

Combine 4x and -x to get 3x.

$$3x=36$$

Divide both sides by 3.

$$x=\frac{36}{3}$$

Divide 36 by 3 to get 12.

$$x=12$$