Question

How do you solve `4/5m+2=6`?

Answer 1

`m = 5`

Explanation:

The first thing to do is isolate the `m` term on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

`4/5m + 2 - color(red)(2) = 6 - color(red)(2)`

`4/5m + 0 = 4`

`4/5m = 4`

Now, solve for `m` while keeping the equation balanced:

`color(red)(5/4) * 4/5m = color(red)(5/4) * 4`

`color(red)(cancel(color(black)(5)))/color(blue)(cancel(color(black)(4))) * color(blue)(cancel(color(black)(4)))/color(red)(cancel(color(black)(5)))m = 5/color(green)(cancel(color(black)(4))) * color(green)(cancel(color(black)(4)))`

`m = 5`