2(t+3)=3(t+2)

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + 2t = 6 + -6 + 3t

Combine like terms: 6 + -6 = 0
0 + 2t = 6 + -6 + 3t
2t = 6 + -6 + 3t

Combine like terms: 6 + -6 = 0
2t = 0 + 3t
2t = 3t

Solving
2t = 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
2t + -3t = 3t + -3t

Combine like terms: 2t + -3t = -1t
-1t = 3t + -3t

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

Divide each side by '-1'.
t = 0

Simplifying
t = 0