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

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

Simplifying
3(t + 2) = 2 + -1(2t + -2)

Reorder the terms:
3(2 + t) = 2 + -1(2t + -2)
(2 * 3 + t * 3) = 2 + -1(2t + -2)
(6 + 3t) = 2 + -1(2t + -2)

Reorder the terms:
6 + 3t = 2 + -1(-2 + 2t)
6 + 3t = 2 + (-2 * -1 + 2t * -1)
6 + 3t = 2 + (2 + -2t)

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

Solving
6 + 3t = 4 + -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.
6 + 3t + 2t = 4 + -2t + 2t

Combine like terms: 3t + 2t = 5t
6 + 5t = 4 + -2t + 2t

Combine like terms: -2t + 2t = 0
6 + 5t = 4 + 0
6 + 5t = 4

Add '-6' to each side of the equation.
6 + -6 + 5t = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 5t = 4 + -6
5t = 4 + -6

Combine like terms: 4 + -6 = -2
5t = -2

Divide each side by '5'.
t = -0.4

Simplifying
t = -0.4