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

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

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

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

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

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

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

Reorder the terms:
6 + 3t = -3 + 8t + 2t

Combine like terms: 8t + 2t = 10t
6 + 3t = -3 + 10t

Solving
6 + 3t = -3 + 10t

Solving for variable 't'.

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

Add '-10t' to each side of the equation.
6 + 3t + -10t = -3 + 10t + -10t

Combine like terms: 3t + -10t = -7t
6 + -7t = -3 + 10t + -10t

Combine like terms: 10t + -10t = 0
6 + -7t = -3 + 0
6 + -7t = -3

Add '-6' to each side of the equation.
6 + -6 + -7t = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -7t = -3 + -6
-7t = -3 + -6

Combine like terms: -3 + -6 = -9
-7t = -9

Divide each side by '-7'.
t = 1.285714286

Simplifying
t = 1.285714286