3(2-3t)+13t=2t+12

Solution for 3(2-3t)+13t=2t+12 equation:

Simplifying
3(2 + -3t) + 13t = 2t + 12
(2 * 3 + -3t * 3) + 13t = 2t + 12
(6 + -9t) + 13t = 2t + 12

Combine like terms: -9t + 13t = 4t
6 + 4t = 2t + 12

Reorder the terms:
6 + 4t = 12 + 2t

Solving
6 + 4t = 12 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
6 + 4t + -2t = 12 + 2t + -2t

Combine like terms: 4t + -2t = 2t
6 + 2t = 12 + 2t + -2t

Combine like terms: 2t + -2t = 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