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