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

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

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

Reorder the terms:
-3(-2 + t) + 8t = 7t + -1
(-2 * -3 + t * -3) + 8t = 7t + -1
(6 + -3t) + 8t = 7t + -1

Combine like terms: -3t + 8t = 5t
6 + 5t = 7t + -1

Reorder the terms:
6 + 5t = -1 + 7t

Solving
6 + 5t = -1 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
6 + 5t + -7t = -1 + 7t + -7t

Combine like terms: 5t + -7t = -2t
6 + -2t = -1 + 7t + -7t

Combine like terms: 7t + -7t = 0
6 + -2t = -1 + 0
6 + -2t = -1

Add '-6' to each side of the equation.
6 + -6 + -2t = -1 + -6

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

Combine like terms: -1 + -6 = -7
-2t = -7

Divide each side by '-2'.
t = 3.5

Simplifying
t = 3.5