(2+t)*3=t+12

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

Simplifying
(2 + t) * 3 = t + 12

Reorder the terms for easier multiplication:
3(2 + t) = t + 12
(2 * 3 + t * 3) = t + 12
(6 + 3t) = t + 12

Reorder the terms:
6 + 3t = 12 + t

Solving
6 + 3t = 12 + 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 = 12 + t + -1t

Combine like terms: 3t + -1t = 2t
6 + 2t = 12 + t + -1t

Combine like terms: t + -1t = 0
6 + 2t = 12 + 0
6 + 2t = 12

Add '-6' to each side of the equation.
6 + -6 + 2t = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 2t = 12 + -6
2t = 12 + -6

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

Divide each side by '2'.
t = 3

Simplifying
t = 3