Solve 1/x=1/20+1/10

$$\frac { 1 } { x } = \frac { 1 } { 20 } + \frac { 1 } { 10 }$$

Solve for x

$$x = \frac{20}{3} = 6\frac{2}{3} \approx 6.666666667$$

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 20x, the least common multiple of x,20,10.

$$20=20x\times \frac{1}{20}+20x\times \frac{1}{10}$$

Cancel out 20 and 20.

$$20=x+20x\times \frac{1}{10}$$

Multiply 20 and \frac{1}{10} to get \frac{20}{10}.

$$20=x+\frac{20}{10}x$$

Divide 20 by 10 to get 2.

$$20=x+2x$$

Combine x and 2x to get 3x.

$$20=3x$$

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

$$3x=20$$

Divide both sides by 3.

$$x=\frac{20}{3}$$