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

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

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

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

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

Solving
-6 + 5t = 12t

Solving for variable 't'.

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

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

Combine like terms: 5t + -12t = -7t
-6 + -7t = 12t + -12t

Combine like terms: 12t + -12t = 0
-6 + -7t = 0

Add '6' to each side of the equation.
-6 + 6 + -7t = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -7t = 0 + 6
-7t = 0 + 6

Combine like terms: 0 + 6 = 6
-7t = 6

Divide each side by '-7'.
t = -0.8571428571

Simplifying
t = -0.8571428571