3(t-1)=t+2

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

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

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

Reorder the terms:
-3 + 3t = 2 + t

Solving
-3 + 3t = 2 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
-3 + 3t + -1t = 2 + t + -1t

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

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

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

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

Combine like terms: 2 + 3 = 5
2t = 5

Divide each side by '2'.
t = 2.5

Simplifying
t = 2.5