Solve 1/12+1/10=1/x

$$\frac{ 1 }{ 12 } + \frac{ 1 }{ 10 } = \frac{ 1 }{ x }$$

Solve for x

$$x = \frac{60}{11} = 5\frac{5}{11} \approx 5.454545455$$

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 60x, the least common multiple of 12,10,x.

$$60x\times \frac{1}{12}+60x\times \frac{1}{10}=60$$

Multiply 60 and \frac{1}{12} to get \frac{60}{12}.

$$\frac{60}{12}x+60x\times \frac{1}{10}=60$$

Divide 60 by 12 to get 5.

$$5x+60x\times \frac{1}{10}=60$$

Multiply 60 and \frac{1}{10} to get \frac{60}{10}.

$$5x+\frac{60}{10}x=60$$

Divide 60 by 10 to get 6.

$$5x+6x=60$$

Combine 5x and 6x to get 11x.

$$11x=60$$

Divide both sides by 11.

$$x=\frac{60}{11}$$