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

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

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

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

Reorder the terms:
-4 + -6 + 2t + 6t = 6

Combine like terms: -4 + -6 = -10
-10 + 2t + 6t = 6

Combine like terms: 2t + 6t = 8t
-10 + 8t = 6

Solving
-10 + 8t = 6

Solving for variable 't'.

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

Add '10' to each side of the equation.
-10 + 10 + 8t = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 8t = 6 + 10
8t = 6 + 10

Combine like terms: 6 + 10 = 16
8t = 16

Divide each side by '8'.
t = 2

Simplifying
t = 2