Question

How do you solve `3/4q-7=8`?

Answer 1

See entire solution process below:

Explanation:

First, add `color(red)(7)` to each side of the equation to isolate the `q` term and keep the equation balanced:

`3/4q - 7 + color(red)(7) = 8 + color(red)(7)`

`3/4q - 0 = 15`

`3/4q = 15`

Next, multiply each side of the equation by `color(red)(4)/color(blue)(3)` to solve for `q` while keeping the equation balanced:

`color(red)(4)/color(blue)(3) xx 3/4q = color(red)(4)/color(blue)(3) xx 15`

`cancel(color(red)(4))/cancel(color(blue)(3)) xx color(blue)(cancel(color(black)(3)))/color(red)(cancel(color(black)(4)))q = color(red)(4)/color(blue)(3) xx (3 xx 5)`

`q = color(red)(4)/cancel(color(blue)(3)) xx (color(blue)(cancel(color(black)(3))) xx 5)`

`q = 4 xx 5`

`q = 20`