Solve 1/9+1/12=1/x

$$\frac { 1 } { 9 } + \frac { 1 } { 12 } = \frac { 1 } { x }$$

Solve for x

$$x = \frac{36}{7} = 5\frac{1}{7} \approx 5.142857143$$

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 9,12,x.

$$36x\times \frac{1}{9}+36x\times \frac{1}{12}=36$$

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

$$\frac{36}{9}x+36x\times \frac{1}{12}=36$$

Divide 36 by 9 to get 4.

$$4x+36x\times \frac{1}{12}=36$$

Multiply 36 and \frac{1}{12} to get \frac{36}{12}.

$$4x+\frac{36}{12}x=36$$

Divide 36 by 12 to get 3.

$$4x+3x=36$$

Combine 4x and 3x to get 7x.

$$7x=36$$

Divide both sides by 7.

$$x=\frac{36}{7}$$