-3(t-2)+5t=8t-4

Solution for -3(t-2)+5t=8t-4 equation:

Simplifying
-3(t + -2) + 5t = 8t + -4

Reorder the terms:
-3(-2 + t) + 5t = 8t + -4
(-2 * -3 + t * -3) + 5t = 8t + -4
(6 + -3t) + 5t = 8t + -4

Combine like terms: -3t + 5t = 2t
6 + 2t = 8t + -4

Reorder the terms:
6 + 2t = -4 + 8t

Solving
6 + 2t = -4 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
6 + 2t + -8t = -4 + 8t + -8t

Combine like terms: 2t + -8t = -6t
6 + -6t = -4 + 8t + -8t

Combine like terms: 8t + -8t = 0
6 + -6t = -4 + 0
6 + -6t = -4

Add '-6' to each side of the equation.
6 + -6 + -6t = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -6t = -4 + -6
-6t = -4 + -6

Combine like terms: -4 + -6 = -10
-6t = -10

Divide each side by '-6'.
t = 1.666666667

Simplifying
t = 1.666666667