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 = 2
4t = 2

Divide each side by '4'.
t = 0.5

Simplifying
t = 0.5