5(t+3)=3(2t+1)

Solution for 5(t+3)=3(2t+1) equation:

Simplifying
5(t + 3) = 3(2t + 1)

Reorder the terms:
5(3 + t) = 3(2t + 1)
(3 * 5 + t * 5) = 3(2t + 1)
(15 + 5t) = 3(2t + 1)

Reorder the terms:
15 + 5t = 3(1 + 2t)
15 + 5t = (1 * 3 + 2t * 3)
15 + 5t = (3 + 6t)

Solving
15 + 5t = 3 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
15 + 5t + -6t = 3 + 6t + -6t

Combine like terms: 5t + -6t = -1t
15 + -1t = 3 + 6t + -6t

Combine like terms: 6t + -6t = 0
15 + -1t = 3 + 0
15 + -1t = 3

Add '-15' to each side of the equation.
15 + -15 + -1t = 3 + -15

Combine like terms: 15 + -15 = 0
0 + -1t = 3 + -15
-1t = 3 + -15

Combine like terms: 3 + -15 = -12
-1t = -12

Divide each side by '-1'.
t = 12

Simplifying
t = 12