3(t+20)=5(t+8)

Solution for 3(t+20)=5(t+8) equation:

Simplifying
3(t + 20) = 5(t + 8)

Reorder the terms:
3(20 + t) = 5(t + 8)
(20 * 3 + t * 3) = 5(t + 8)
(60 + 3t) = 5(t + 8)

Reorder the terms:
60 + 3t = 5(8 + t)
60 + 3t = (8 * 5 + t * 5)
60 + 3t = (40 + 5t)

Solving
60 + 3t = 40 + 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.
60 + 3t + -5t = 40 + 5t + -5t

Combine like terms: 3t + -5t = -2t
60 + -2t = 40 + 5t + -5t

Combine like terms: 5t + -5t = 0
60 + -2t = 40 + 0
60 + -2t = 40

Add '-60' to each side of the equation.
60 + -60 + -2t = 40 + -60

Combine like terms: 60 + -60 = 0
0 + -2t = 40 + -60
-2t = 40 + -60

Combine like terms: 40 + -60 = -20
-2t = -20

Divide each side by '-2'.
t = 10

Simplifying
t = 10