3(t+11)=9(t+8)-5t

Solution for 3(t+11)=9(t+8)-5t equation:

Simplifying
3(t + 11) = 9(t + 8) + -5t

Reorder the terms:
3(11 + t) = 9(t + 8) + -5t
(11 * 3 + t * 3) = 9(t + 8) + -5t
(33 + 3t) = 9(t + 8) + -5t

Reorder the terms:
33 + 3t = 9(8 + t) + -5t
33 + 3t = (8 * 9 + t * 9) + -5t
33 + 3t = (72 + 9t) + -5t

Combine like terms: 9t + -5t = 4t
33 + 3t = 72 + 4t

Solving
33 + 3t = 72 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
33 + 3t + -4t = 72 + 4t + -4t

Combine like terms: 3t + -4t = -1t
33 + -1t = 72 + 4t + -4t

Combine like terms: 4t + -4t = 0
33 + -1t = 72 + 0
33 + -1t = 72

Add '-33' to each side of the equation.
33 + -33 + -1t = 72 + -33

Combine like terms: 33 + -33 = 0
0 + -1t = 72 + -33
-1t = 72 + -33

Combine like terms: 72 + -33 = 39
-1t = 39

Divide each side by '-1'.
t = -39

Simplifying
t = -39