Solve 1/20=1/5+1/x

$$\frac { 1 } { 20 } = \frac { 1 } { 5 } + \frac { 1 } { x }$$

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 20,5,x.

$$x=20x\times \frac{1}{5}+20$$

Multiply 20 and \frac{1}{5} to get \frac{20}{5}.

$$x=\frac{20}{5}x+20$$

Divide 20 by 5 to get 4.

$$x=4x+20$$

Subtract 4x from both sides.

$$x-4x=20$$

Combine x and -4x to get -3x.

$$-3x=20$$

Divide both sides by -3.

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

Fraction \frac{20}{-3} can be rewritten as -\frac{20}{3} by extracting the negative sign.

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