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

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

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

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

Reorder the terms:
6 + 6t = (2 + 2t)

Remove parenthesis around (2 + 2t)
6 + 6t = 2 + 2t

Solving
6 + 6t = 2 + 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 + 6t + -2t = 2 + 2t + -2t

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

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

Add '-6' to each side of the equation.
6 + -6 + 4t = 2 + -6

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

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

Divide each side by '4'.
t = -1

Simplifying
t = -1