Solve 1/x=1/30+1/17

$$\frac{ 1 }{ x } = \frac{ 1 }{ 30 } + \frac{ 1 }{ 17 }$$

Solve for x

$$x = \frac{510}{47} = 10\frac{40}{47} \approx 10.85106383$$

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 510x, the least common multiple of x,30,17.

$$510=510x\times \frac{1}{30}+510x\times \frac{1}{17}$$

Multiply 510 and \frac{1}{30} to get \frac{510}{30}.

$$510=\frac{510}{30}x+510x\times \frac{1}{17}$$

Divide 510 by 30 to get 17.

$$510=17x+510x\times \frac{1}{17}$$

Multiply 510 and \frac{1}{17} to get \frac{510}{17}.

$$510=17x+\frac{510}{17}x$$

Divide 510 by 17 to get 30.

$$510=17x+30x$$

Combine 17x and 30x to get 47x.

$$510=47x$$

Swap sides so that all variable terms are on the left hand side.

$$47x=510$$

Divide both sides by 47.

$$x=\frac{510}{47}$$