Solve 1/50+1/x=1/10

$$\frac{ 1 }{ 50 } + \frac{ 1 }{ x } = \frac{ 1 }{ 10 }$$

Solve for x

$$x = \frac{25}{2} = 12\frac{1}{2} = 12.5$$

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 50x, the least common multiple of 50,x,10.

$$50x\times \frac{1}{50}+50=5x$$

Cancel out 50 and 50.

$$x+50=5x$$

Subtract 5x from both sides.

$$x+50-5x=0$$

Combine x and -5x to get -4x.

$$-4x+50=0$$

Subtract 50 from both sides. Anything subtracted from zero gives its negation.

$$-4x=-50$$

Divide both sides by -4.

$$x=\frac{-50}{-4}$$

Reduce the fraction \frac{-50}{-4} to lowest terms by extracting and canceling out -2.

$$x=\frac{25}{2}$$