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

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

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

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

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

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

Solving
6 + 2t = -6 + 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 = -6 + 6t + -6t

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

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

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

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

Combine like terms: -6 + -6 = -12
-4t = -12

Divide each side by '-4'.
t = 3

Simplifying
t = 3