Solve 1/20-30+1/208=1/x

$$\frac{ 1 }{ 20-30 } + \frac{ 1 }{ 208 } = \frac{ 1 }{ x }$$

Solve for x

$$x = -\frac{1040}{99} = -10\frac{50}{99} \approx -10.505050505$$

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 208x, the least common multiple of 208,x.

$$-\frac{104}{5}x+208x\times \frac{1}{208}=208$$

Cancel out 208 and 208.

$$-\frac{104}{5}x+x=208$$

Combine -\frac{104}{5}x and x to get -\frac{99}{5}x.

$$-\frac{99}{5}x=208$$

Multiply both sides by -\frac{5}{99}, the reciprocal of -\frac{99}{5}.

$$x=208\left(-\frac{5}{99}\right)$$

Express 208\left(-\frac{5}{99}\right) as a single fraction.

$$x=\frac{208\left(-5\right)}{99}$$

Multiply 208 and -5 to get -1040.

$$x=\frac{-1040}{99}$$

Fraction \frac{-1040}{99} can be rewritten as -\frac{1040}{99} by extracting the negative sign.

$$x=-\frac{1040}{99}$$