Answer
t =-3
Work Step by Step
-2t - 10 = 3t + 5
One way to get the variable term by itself on one side is to add 2t from both sides.
-2t - 10 + 2t = 3t + 5 +2t
-10 = 5t +5
Next, add -5 to both sides
-10 -5= 5t +5 -5
-15 = 5t
Finally, divide both sides by 5
$\frac{-15}{5}$ = $\frac{5t}{5}$
-3 = t
The solution is -3.
Check. Go back to the original equation
-2t - 10 = 3t + 5
Replace t with -3
-2 * -3 -10 = 3* -3 +5
6 - 10 = -9 +5
-4 = -4
True, so -3 is the correct solution
