3[t-3]=5[2t+1]

Solution for 3[t-3]=5[2t+1] equation:

Simplifying
3[t + -3] = 5[2t + 1]

Reorder the terms:
3[-3 + t] = 5[2t + 1]
[-3 * 3 + t * 3] = 5[2t + 1]
[-9 + 3t] = 5[2t + 1]

Reorder the terms:
-9 + 3t = 5[1 + 2t]
-9 + 3t = [1 * 5 + 2t * 5]
-9 + 3t = [5 + 10t]

Solving
-9 + 3t = 5 + 10t

Solving for variable 't'.

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

Add '-10t' to each side of the equation.
-9 + 3t + -10t = 5 + 10t + -10t

Combine like terms: 3t + -10t = -7t
-9 + -7t = 5 + 10t + -10t

Combine like terms: 10t + -10t = 0
-9 + -7t = 5 + 0
-9 + -7t = 5

Add '9' to each side of the equation.
-9 + 9 + -7t = 5 + 9

Combine like terms: -9 + 9 = 0
0 + -7t = 5 + 9
-7t = 5 + 9

Combine like terms: 5 + 9 = 14
-7t = 14

Divide each side by '-7'.
t = -2

Simplifying
t = -2