Solve 1/6+1/5=1/x

$$\frac { 1 } { 6 } + \frac { 1 } { 5 } = \frac { 1 } { x }$$

Solve for x

$$x = \frac{30}{11} = 2\frac{8}{11} \approx 2.727272727$$

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 30x, the least common multiple of 6,5,x.

$$30x\times \frac{1}{6}+30x\times \frac{1}{5}=30$$

Multiply 30 and \frac{1}{6} to get \frac{30}{6}.

$$\frac{30}{6}x+30x\times \frac{1}{5}=30$$

Divide 30 by 6 to get 5.

$$5x+30x\times \frac{1}{5}=30$$

Multiply 30 and \frac{1}{5} to get \frac{30}{5}.

$$5x+\frac{30}{5}x=30$$

Divide 30 by 5 to get 6.

$$5x+6x=30$$

Combine 5x and 6x to get 11x.

$$11x=30$$

Divide both sides by 11.

$$x=\frac{30}{11}$$