2t-2=3(t+2)

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

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

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

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

Solving
-2 + 2t = 6 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-2 + 2t + -3t = 6 + 3t + -3t

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

Combine like terms: 3t + -3t = 0
-2 + -1t = 6 + 0
-2 + -1t = 6

Add '2' to each side of the equation.
-2 + 2 + -1t = 6 + 2

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

Combine like terms: 6 + 2 = 8
-1t = 8

Divide each side by '-1'.
t = -8

Simplifying
t = -8