2t+3(t-5)=-20

Solution for 2t+3(t-5)=-20 equation:

Simplifying
2t + 3(t + -5) = -20

Reorder the terms:
2t + 3(-5 + t) = -20
2t + (-5 * 3 + t * 3) = -20
2t + (-15 + 3t) = -20

Reorder the terms:
-15 + 2t + 3t = -20

Combine like terms: 2t + 3t = 5t
-15 + 5t = -20

Solving
-15 + 5t = -20

Solving for variable 't'.

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

Add '15' to each side of the equation.
-15 + 15 + 5t = -20 + 15

Combine like terms: -15 + 15 = 0
0 + 5t = -20 + 15
5t = -20 + 15

Combine like terms: -20 + 15 = -5
5t = -5

Divide each side by '5'.
t = -1

Simplifying
t = -1