-3(t-2)+5t=6t-8

Solution for -3(t-2)+5t=6t-8 equation:

Simplifying
-3(t + -2) + 5t = 6t + -8

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

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

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

Solving
6 + 2t = -8 + 6t

Solving for variable 't'.

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

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

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

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

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

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

Combine like terms: -8 + -6 = -14
-4t = -14

Divide each side by '-4'.
t = 3.5

Simplifying
t = 3.5