Question

How do you solve `14/(x - 8) + 2 = 10/(x - 8)`?

Answer 1

`x=6`

Explanation:

Assuming `x ne 8`, we can convert the expression into

`\frac{14}{x-8} + \frac{2(x-8)}{x-8} = \frac{10}{x-8}`

And thus

`\frac{14+2(x-8)}{cancel(x-8)} = \frac{10}{cancel(x-8)}`

Expanding the first numerator, we have `14+2x-16 = 2x-2`

So, the equation becomes `2x-2 = 10`, and finally
`2x=12 -> x=6`