2(t+3)+t=18+t

Solution for 2(t+3)+t=18+t equation:

Simplifying
2(t + 3) + t = 18 + t

Reorder the terms:
2(3 + t) + t = 18 + t
(3 * 2 + t * 2) + t = 18 + t
(6 + 2t) + t = 18 + t

Combine like terms: 2t + t = 3t
6 + 3t = 18 + t

Solving
6 + 3t = 18 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
6 + 3t + -1t = 18 + t + -1t

Combine like terms: 3t + -1t = 2t
6 + 2t = 18 + t + -1t

Combine like terms: t + -1t = 0
6 + 2t = 18 + 0
6 + 2t = 18

Add '-6' to each side of the equation.
6 + -6 + 2t = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 2t = 18 + -6
2t = 18 + -6

Combine like terms: 18 + -6 = 12
2t = 12

Divide each side by '2'.
t = 6

Simplifying
t = 6