6(2t+1)=12-6t

Solution for 6(2t+1)=12-6t equation:

Simplifying
6(2t + 1) = 12 + -6t

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

Solving
6 + 12t = 12 + -6t

Solving for variable 't'.

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

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

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

Combine like terms: -6t + 6t = 0
6 + 18t = 12 + 0
6 + 18t = 12

Add '-6' to each side of the equation.
6 + -6 + 18t = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 18t = 12 + -6
18t = 12 + -6

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

Divide each side by '18'.
t = 0.3333333333

Simplifying
t = 0.3333333333