3(t-2)+2(t+3)=15

Solution for 3(t-2)+2(t+3)=15 equation:

Simplifying
3(t + -2) + 2(t + 3) = 15

Reorder the terms:
3(-2 + t) + 2(t + 3) = 15
(-2 * 3 + t * 3) + 2(t + 3) = 15
(-6 + 3t) + 2(t + 3) = 15

Reorder the terms:
-6 + 3t + 2(3 + t) = 15
-6 + 3t + (3 * 2 + t * 2) = 15
-6 + 3t + (6 + 2t) = 15

Reorder the terms:
-6 + 6 + 3t + 2t = 15

Combine like terms: -6 + 6 = 0
0 + 3t + 2t = 15
3t + 2t = 15

Combine like terms: 3t + 2t = 5t
5t = 15

Solving
5t = 15

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Divide each side by '5'.
t = 3

Simplifying
t = 3