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

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

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

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

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

Solving
18 + 9t = -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.
18 + 9t + -3t = -6 + 3t + -3t

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

Combine like terms: 3t + -3t = 0
18 + 6t = -6 + 0
18 + 6t = -6

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

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

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

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

Simplifying
t = -4