3(t+11)=5(t-19)

Solution for 3(t+11)=5(t-19) equation:

Simplifying
3(t + 11) = 5(t + -19)

Reorder the terms:
3(11 + t) = 5(t + -19)
(11 * 3 + t * 3) = 5(t + -19)
(33 + 3t) = 5(t + -19)

Reorder the terms:
33 + 3t = 5(-19 + t)
33 + 3t = (-19 * 5 + t * 5)
33 + 3t = (-95 + 5t)

Solving
33 + 3t = -95 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
33 + 3t + -5t = -95 + 5t + -5t

Combine like terms: 3t + -5t = -2t
33 + -2t = -95 + 5t + -5t

Combine like terms: 5t + -5t = 0
33 + -2t = -95 + 0
33 + -2t = -95

Add '-33' to each side of the equation.
33 + -33 + -2t = -95 + -33

Combine like terms: 33 + -33 = 0
0 + -2t = -95 + -33
-2t = -95 + -33

Combine like terms: -95 + -33 = -128
-2t = -128

Divide each side by '-2'.
t = 64

Simplifying
t = 64