8-(3t+3)=6+(t+1)

Solution for 8-(3t+3)=6+(t+1) equation:

Simplifying
8 + -1(3t + 3) = 6 + (t + 1)

Reorder the terms:
8 + -1(3 + 3t) = 6 + (t + 1)
8 + (3 * -1 + 3t * -1) = 6 + (t + 1)
8 + (-3 + -3t) = 6 + (t + 1)

Combine like terms: 8 + -3 = 5
5 + -3t = 6 + (t + 1)

Reorder the terms:
5 + -3t = 6 + (1 + t)

Remove parenthesis around (1 + t)
5 + -3t = 6 + 1 + t

Combine like terms: 6 + 1 = 7
5 + -3t = 7 + t

Solving
5 + -3t = 7 + 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.
5 + -3t + -1t = 7 + t + -1t

Combine like terms: -3t + -1t = -4t
5 + -4t = 7 + t + -1t

Combine like terms: t + -1t = 0
5 + -4t = 7 + 0
5 + -4t = 7

Add '-5' to each side of the equation.
5 + -5 + -4t = 7 + -5

Combine like terms: 5 + -5 = 0
0 + -4t = 7 + -5
-4t = 7 + -5

Combine like terms: 7 + -5 = 2
-4t = 2

Divide each side by '-4'.
t = -0.5

Simplifying
t = -0.5