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

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

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

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

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

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

Solving for variable 't'.

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

Add 't' to each side of the equation.
-3 + 3t + t = 5 + -1t + t

Combine like terms: 3t + t = 4t
-3 + 4t = 5 + -1t + t

Combine like terms: -1t + t = 0
-3 + 4t = 5 + 0
-3 + 4t = 5

Add '3' to each side of the equation.
-3 + 3 + 4t = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 4t = 5 + 3
4t = 5 + 3

Combine like terms: 5 + 3 = 8
4t = 8

Divide each side by '4'.
t = 2

Simplifying
t = 2