2(t-20)+3t=10

Solution for 2(t-20)+3t=10 equation:

Simplifying
2(t + -20) + 3t = 10

Reorder the terms:
2(-20 + t) + 3t = 10
(-20 * 2 + t * 2) + 3t = 10
(-40 + 2t) + 3t = 10

Combine like terms: 2t + 3t = 5t
-40 + 5t = 10

Solving
-40 + 5t = 10

Solving for variable 't'.

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

Add '40' to each side of the equation.
-40 + 40 + 5t = 10 + 40

Combine like terms: -40 + 40 = 0
0 + 5t = 10 + 40
5t = 10 + 40

Combine like terms: 10 + 40 = 50
5t = 50

Divide each side by '5'.
t = 10

Simplifying
t = 10