2(t-12)-6(2t-3)=14

Solution for 2(t-12)-6(2t-3)=14 equation:

Simplifying
2(t + -12) + -6(2t + -3) = 14

Reorder the terms:
2(-12 + t) + -6(2t + -3) = 14
(-12 * 2 + t * 2) + -6(2t + -3) = 14
(-24 + 2t) + -6(2t + -3) = 14

Reorder the terms:
-24 + 2t + -6(-3 + 2t) = 14
-24 + 2t + (-3 * -6 + 2t * -6) = 14
-24 + 2t + (18 + -12t) = 14

Reorder the terms:
-24 + 18 + 2t + -12t = 14

Combine like terms: -24 + 18 = -6
-6 + 2t + -12t = 14

Combine like terms: 2t + -12t = -10t
-6 + -10t = 14

Solving
-6 + -10t = 14

Solving for variable 't'.

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

Add '6' to each side of the equation.
-6 + 6 + -10t = 14 + 6

Combine like terms: -6 + 6 = 0
0 + -10t = 14 + 6
-10t = 14 + 6

Combine like terms: 14 + 6 = 20
-10t = 20

Divide each side by '-10'.
t = -2

Simplifying
t = -2