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 = 18
6t = 18

Divide each side by '6'.
t = 3

Simplifying
t = 3