3(t+2)=9(t-2)

Solution for 3(t+2)=9(t-2) equation:

Simplifying
3(t + 2) = 9(t + -2)

Reorder the terms:
3(2 + t) = 9(t + -2)
(2 * 3 + t * 3) = 9(t + -2)
(6 + 3t) = 9(t + -2)

Reorder the terms:
6 + 3t = 9(-2 + t)
6 + 3t = (-2 * 9 + t * 9)
6 + 3t = (-18 + 9t)

Solving
6 + 3t = -18 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
6 + 3t + -9t = -18 + 9t + -9t

Combine like terms: 3t + -9t = -6t
6 + -6t = -18 + 9t + -9t

Combine like terms: 9t + -9t = 0
6 + -6t = -18 + 0
6 + -6t = -18

Add '-6' to each side of the equation.
6 + -6 + -6t = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -6t = -18 + -6
-6t = -18 + -6

Combine like terms: -18 + -6 = -24
-6t = -24

Divide each side by '-6'.
t = 4

Simplifying
t = 4