(3t+5)-(t+5)=30

Solution for (3t+5)-(t+5)=30 equation:

Simplifying
(3t + 5) + -1(t + 5) = 30

Reorder the terms:
(5 + 3t) + -1(t + 5) = 30

Remove parenthesis around (5 + 3t)
5 + 3t + -1(t + 5) = 30

Reorder the terms:
5 + 3t + -1(5 + t) = 30
5 + 3t + (5 * -1 + t * -1) = 30
5 + 3t + (-5 + -1t) = 30

Reorder the terms:
5 + -5 + 3t + -1t = 30

Combine like terms: 5 + -5 = 0
0 + 3t + -1t = 30
3t + -1t = 30

Combine like terms: 3t + -1t = 2t
2t = 30

Solving
2t = 30

Solving for variable 't'.

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

Divide each side by '2'.
t = 15

Simplifying
t = 15