3(t+5)=t-9

Solution for 3(t+5)=t-9 equation:

Simplifying
3(t + 5) = t + -9

Reorder the terms:
3(5 + t) = t + -9
(5 * 3 + t * 3) = t + -9
(15 + 3t) = t + -9

Reorder the terms:
15 + 3t = -9 + t

Solving
15 + 3t = -9 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
15 + 3t + -1t = -9 + t + -1t

Combine like terms: 3t + -1t = 2t
15 + 2t = -9 + t + -1t

Combine like terms: t + -1t = 0
15 + 2t = -9 + 0
15 + 2t = -9

Add '-15' to each side of the equation.
15 + -15 + 2t = -9 + -15

Combine like terms: 15 + -15 = 0
0 + 2t = -9 + -15
2t = -9 + -15

Combine like terms: -9 + -15 = -24
2t = -24

Divide each side by '2'.
t = -12

Simplifying
t = -12