3(t+2)+5t=14

Solution for 3(t+2)+5t=14 equation:

Simplifying
3(t + 2) + 5t = 14

Reorder the terms:
3(2 + t) + 5t = 14
(2 * 3 + t * 3) + 5t = 14
(6 + 3t) + 5t = 14

Combine like terms: 3t + 5t = 8t
6 + 8t = 14

Solving
6 + 8t = 14

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 + 8t = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 8t = 14 + -6
8t = 14 + -6

Combine like terms: 14 + -6 = 8
8t = 8

Divide each side by '8'.
t = 1

Simplifying
t = 1