3(3t+1)=2(6t+3)

Solution for 3(3t+1)=2(6t+3) equation:

Simplifying
3(3t + 1) = 2(6t + 3)

Reorder the terms:
3(1 + 3t) = 2(6t + 3)
(1 * 3 + 3t * 3) = 2(6t + 3)
(3 + 9t) = 2(6t + 3)

Reorder the terms:
3 + 9t = 2(3 + 6t)
3 + 9t = (3 * 2 + 6t * 2)
3 + 9t = (6 + 12t)

Solving
3 + 9t = 6 + 12t

Solving for variable 't'.

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

Add '-12t' to each side of the equation.
3 + 9t + -12t = 6 + 12t + -12t

Combine like terms: 9t + -12t = -3t
3 + -3t = 6 + 12t + -12t

Combine like terms: 12t + -12t = 0
3 + -3t = 6 + 0
3 + -3t = 6

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

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

Combine like terms: 6 + -3 = 3
-3t = 3

Divide each side by '-3'.
t = -1

Simplifying
t = -1