2(2t+3)+t=12-t

Solution for 2(2t+3)+t=12-t equation:

Simplifying
2(2t + 3) + t = 12 + -1t

Reorder the terms:
2(3 + 2t) + t = 12 + -1t
(3 * 2 + 2t * 2) + t = 12 + -1t
(6 + 4t) + t = 12 + -1t

Combine like terms: 4t + t = 5t
6 + 5t = 12 + -1t

Solving
6 + 5t = 12 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
6 + 5t + t = 12 + -1t + t

Combine like terms: 5t + t = 6t
6 + 6t = 12 + -1t + t

Combine like terms: -1t + t = 0
6 + 6t = 12 + 0
6 + 6t = 12

Add '-6' to each side of the equation.
6 + -6 + 6t = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 6t = 12 + -6
6t = 12 + -6

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

Divide each side by '6'.
t = 1

Simplifying
t = 1