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)

Solving
-6 + 2t = 6 + 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.
-6 + 2t + -3t = 6 + 3t + -3t

Combine like terms: 2t + -3t = -1t
-6 + -1t = 6 + 3t + -3t

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

Add '6' to each side of the equation.
-6 + 6 + -1t = 6 + 6

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

Combine like terms: 6 + 6 = 12
-1t = 12

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

Simplifying
t = -12