Question

How do you solve `12s - 30= 16s - 70`?

Answer 1

See a solution process below:

Explanation:

First, subtract `color(red)(12s)` and add `color(blue)(70)` to each side of the equation to isolate the `s` term while keeping the equation balanced:

`12s - color(red)(12s) - 30 + color(blue)(70) = 16s - color(red)(12s) - 70 + color(blue)(70)`

`0 + 40 = (16 - color(red)(12))s - 0`

`40 = 4s`

Now, divide each side of the equation by `color(red)(4)` to solve for `s` while keeping the equation balanced:

`40/color(red)(4) = (4s)/color(red)(4)`

`10 = (color(red)(cancel(color(black)(4)))s)/cancel(color(red)(4))`

`10 = s`

`s = 10`

Answer 2

`s=10`

Explanation:

first subtract `12s to 16s` then you get `-30=4s-70`
then add `70 to -30` then divide `40/4`

Answer 3

s = 10.

Explanation:

We set the entire equation equal to zero.

`12s - 30 = 16s -70`

We can do that by subtracting `16s` and `-70` from both sides. Note that subtracting a negative number is the same as adding.

`12s - 30 -16s -(-70) = 0`

Then we simplify:

`12s -16s - 30 + 70 = 0`

`-4s + 40 = 0`

We can then add `-4s` to both sides of the equation to isolate `s`, and divide both sides by 4 to solve for `s`:

`40 = 4s`

`10 = s`