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

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

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

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

Combine like terms: -2t + 8t = 6t
6 + 6t = 3t + -1

Reorder the terms:
6 + 6t = -1 + 3t

Solving
6 + 6t = -1 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
6 + 6t + -3t = -1 + 3t + -3t

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

Combine like terms: 3t + -3t = 0
6 + 3t = -1 + 0
6 + 3t = -1

Add '-6' to each side of the equation.
6 + -6 + 3t = -1 + -6

Combine like terms: 6 + -6 = 0
0 + 3t = -1 + -6
3t = -1 + -6

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

Divide each side by '3'.
t = -2.333333333

Simplifying
t = -2.333333333