Question

How do you solve `\frac { 30} { x } + 10= 5`?

Answer 1

See a solution process below:

Explanation:

First, subtract `color(red)(10)` from each side of the equation to isolate the `x` term:

`30/x + 10 - color(red)(10) = 5 - color(red)(10)`

`30/x + 0 = -5`

`30/x = -5`

Next, multiply each side of the equation by `color(red)(x)` to eliminate the fraction while keeping the equation balanced:

`30/x xx color(red)(x) = -5 xx color(red)(x)`

`30/color(red)(cancel(color(black)(x))) xx cancel(color(red)(x)) = -5x`

`30 = -5x`

Now, divide each side of the equation by `color(red)(-5)` to solve for `x` while keeping the equation balanced:

`30/color(red)(-5) = (-5x)/color(red)(-5)`

`-6 = (color(red)(cancel(color(black)(-5)))x)/cancel(color(red)(-5))`

`-6 = x`

`x = -6`