5(16.5+3t)=3(0.9t)

Solution for 5(16.5+3t)=3(0.9t) equation:

Simplifying
5(16.5 + 3t) = 3(0.9t)
(16.5 * 5 + 3t * 5) = 3(0.9t)
(82.5 + 15t) = 3(0.9t)

Remove parenthesis around (0.9t)
82.5 + 15t = 3 * 0.9t

Multiply 3 * 0.9
82.5 + 15t = 2.7t

Solving
82.5 + 15t = 2.7t

Solving for variable 't'.

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

Add '-2.7t' to each side of the equation.
82.5 + 15t + -2.7t = 2.7t + -2.7t

Combine like terms: 15t + -2.7t = 12.3t
82.5 + 12.3t = 2.7t + -2.7t

Combine like terms: 2.7t + -2.7t = 0.0
82.5 + 12.3t = 0.0

Add '-82.5' to each side of the equation.
82.5 + -82.5 + 12.3t = 0.0 + -82.5

Combine like terms: 82.5 + -82.5 = 0.0
0.0 + 12.3t = 0.0 + -82.5
12.3t = 0.0 + -82.5

Combine like terms: 0.0 + -82.5 = -82.5
12.3t = -82.5

Divide each side by '12.3'.
t = -6.707317073

Simplifying
t = -6.707317073