(3t+5)+(2t-1)+(t+2)=180

Solution for (3t+5)+(2t-1)+(t+2)=180 equation:

Simplifying
(3t + 5) + (2t + -1) + (t + 2) = 180

Reorder the terms:
(5 + 3t) + (2t + -1) + (t + 2) = 180

Remove parenthesis around (5 + 3t)
5 + 3t + (2t + -1) + (t + 2) = 180

Reorder the terms:
5 + 3t + (-1 + 2t) + (t + 2) = 180

Remove parenthesis around (-1 + 2t)
5 + 3t + -1 + 2t + (t + 2) = 180

Reorder the terms:
5 + 3t + -1 + 2t + (2 + t) = 180

Remove parenthesis around (2 + t)
5 + 3t + -1 + 2t + 2 + t = 180

Reorder the terms:
5 + -1 + 2 + 3t + 2t + t = 180

Combine like terms: 5 + -1 = 4
4 + 2 + 3t + 2t + t = 180

Combine like terms: 4 + 2 = 6
6 + 3t + 2t + t = 180

Combine like terms: 3t + 2t = 5t
6 + 5t + t = 180

Combine like terms: 5t + t = 6t
6 + 6t = 180

Solving
6 + 6t = 180

Solving for variable 't'.

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

Add '-6' to each side of the equation.
6 + -6 + 6t = 180 + -6

Combine like terms: 6 + -6 = 0
0 + 6t = 180 + -6
6t = 180 + -6

Combine like terms: 180 + -6 = 174
6t = 174

Divide each side by '6'.
t = 29

Simplifying
t = 29