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

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

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

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

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

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

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

Combine like terms: 3t + -3t = 0
2 + -1t = 6 + 0
2 + -1t = 6

Add '-2' to each side of the equation.
2 + -2 + -1t = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -1t = 6 + -2
-1t = 6 + -2

Combine like terms: 6 + -2 = 4
-1t = 4

Divide each side by '-1'.
t = -4

Simplifying
t = -4