Question

In the equation `3*(5*t + 2) = 36`, what does t equal?

Answer 1

`t = 2`

Explanation:

To solve for `t`, we need to isolate it within this equation. So, start by dividing both sides by `3`:

`(color(red)(cancel(color(black)(3)))(5* t + 2))/color(red)(cancel(color(black)(3))) = 36/3`

The `3`'s on the left side cancel, to leave:

`5 * t + 2 = 12`

`5t + 2 = 12`

Then we subtract 2 from each side.

`5t + color(red)(cancel(color(black)(2))) - color(red)(cancel(color(black)(2))) = 12 - 2`

`5t=10`

Then, isolate `t`:

`(color(red)(cancel(color(black)(5)))t)/color(red)(cancel(color(black)(5))) = 10/5`

`t = 2`