3(4-t)-12=2-2(t-2)

Solution for 3(4-t)-12=2-2(t-2) equation:

Simplifying
3(4 + -1t) + -12 = 2 + -2(t + -2)
(4 * 3 + -1t * 3) + -12 = 2 + -2(t + -2)
(12 + -3t) + -12 = 2 + -2(t + -2)

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

Combine like terms: 12 + -12 = 0
0 + -3t = 2 + -2(t + -2)
-3t = 2 + -2(t + -2)

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

Combine like terms: 2 + 4 = 6
-3t = 6 + -2t

Solving
-3t = 6 + -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.
-3t + 2t = 6 + -2t + 2t

Combine like terms: -3t + 2t = -1t
-1t = 6 + -2t + 2t

Combine like terms: -2t + 2t = 0
-1t = 6 + 0
-1t = 6

Divide each side by '-1'.
t = -6

Simplifying
t = -6