Question

How do you solve `76= \frac { 410- 10e } { 5}`?

Answer 1

See a solution process below:

Explanation:

First, multiply each side of the equation by `color(red)(5)` to eliminate the fraction while keeping the equation balanced:

`color(red)(5) xx 76 = color(red)(5) xx (410 - 10e)/5`

`380 = cancel(color(red)(5)) xx (410 - 10e)/color(red)(cancel(color(black)(5)))`

`380 = 410 - 10e`

Next, subtract `color(red)(410)` from each side of the equation to isolate the `e` term while keeping the equation balanced:

`-color(red)(410) + 380 = -color(red)(410) + 410 - 10e`

`-30 = 0 - 10e`

`-30 = -10e`

Now, divide each side of the equation by `color(red)(-10)` to solve for `e` while keeping the equation balanced:

`(-30)/color(red)(-10) = (-10e)/color(red)(-10)`

`3 = (color(red)(cancel(color(black)(-10)))e)/cancel(color(red)(-10))`

`3 = e`

`e = 3`