3(t-6)+2(t+6)=-3(t+5)-3

Solution for 3(t-6)+2(t+6)=-3(t+5)-3 equation:

Simplifying
3(t + -6) + 2(t + 6) = -3(t + 5) + -3

Reorder the terms:
3(-6 + t) + 2(t + 6) = -3(t + 5) + -3
(-6 * 3 + t * 3) + 2(t + 6) = -3(t + 5) + -3
(-18 + 3t) + 2(t + 6) = -3(t + 5) + -3

Reorder the terms:
-18 + 3t + 2(6 + t) = -3(t + 5) + -3
-18 + 3t + (6 * 2 + t * 2) = -3(t + 5) + -3
-18 + 3t + (12 + 2t) = -3(t + 5) + -3

Reorder the terms:
-18 + 12 + 3t + 2t = -3(t + 5) + -3

Combine like terms: -18 + 12 = -6
-6 + 3t + 2t = -3(t + 5) + -3

Combine like terms: 3t + 2t = 5t
-6 + 5t = -3(t + 5) + -3

Reorder the terms:
-6 + 5t = -3(5 + t) + -3
-6 + 5t = (5 * -3 + t * -3) + -3
-6 + 5t = (-15 + -3t) + -3

Reorder the terms:
-6 + 5t = -15 + -3 + -3t

Combine like terms: -15 + -3 = -18
-6 + 5t = -18 + -3t

Solving
-6 + 5t = -18 + -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.
-6 + 5t + 3t = -18 + -3t + 3t

Combine like terms: 5t + 3t = 8t
-6 + 8t = -18 + -3t + 3t

Combine like terms: -3t + 3t = 0
-6 + 8t = -18 + 0
-6 + 8t = -18

Add '6' to each side of the equation.
-6 + 6 + 8t = -18 + 6

Combine like terms: -6 + 6 = 0
0 + 8t = -18 + 6
8t = -18 + 6

Combine like terms: -18 + 6 = -12
8t = -12

Divide each side by '8'.
t = -1.5

Simplifying
t = -1.5