3(t-1)=(t-5)

Solution for 3(t-1)=(t-5) equation:

Simplifying
3(t + -1) = (t + -5)

Reorder the terms:
3(-1 + t) = (t + -5)
(-1 * 3 + t * 3) = (t + -5)
(-3 + 3t) = (t + -5)

Reorder the terms:
-3 + 3t = (-5 + t)

Remove parenthesis around (-5 + t)
-3 + 3t = -5 + t

Solving
-3 + 3t = -5 + 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 = -5 + t + -1t

Combine like terms: 3t + -1t = 2t
-3 + 2t = -5 + t + -1t

Combine like terms: t + -1t = 0
-3 + 2t = -5 + 0
-3 + 2t = -5

Add '3' to each side of the equation.
-3 + 3 + 2t = -5 + 3

Combine like terms: -3 + 3 = 0
0 + 2t = -5 + 3
2t = -5 + 3

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

Divide each side by '2'.
t = -1

Simplifying
t = -1