(3t-1)+7=8+-(3-2t)

Solution for (3t-1)+7=8+-(3-2t) equation:

Simplifying
(3t + -1) + 7 = 8 + -1(3 + -2t)

Reorder the terms:
(-1 + 3t) + 7 = 8 + -1(3 + -2t)

Remove parenthesis around (-1 + 3t)
-1 + 3t + 7 = 8 + -1(3 + -2t)

Reorder the terms:
-1 + 7 + 3t = 8 + -1(3 + -2t)

Combine like terms: -1 + 7 = 6
6 + 3t = 8 + -1(3 + -2t)
6 + 3t = 8 + (3 * -1 + -2t * -1)
6 + 3t = 8 + (-3 + 2t)

Combine like terms: 8 + -3 = 5
6 + 3t = 5 + 2t

Solving
6 + 3t = 5 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
6 + 3t + -2t = 5 + 2t + -2t

Combine like terms: 3t + -2t = 1t
6 + 1t = 5 + 2t + -2t

Combine like terms: 2t + -2t = 0
6 + 1t = 5 + 0
6 + 1t = 5

Add '-6' to each side of the equation.
6 + -6 + 1t = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 1t = 5 + -6
1t = 5 + -6

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

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

Simplifying
t = -1