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

1 Answer

Answer:

#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#