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

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

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

Reorder the terms:
-3(-5 + t) + 5t = 6t + -6
(-5 * -3 + t * -3) + 5t = 6t + -6
(15 + -3t) + 5t = 6t + -6

Combine like terms: -3t + 5t = 2t
15 + 2t = 6t + -6

Reorder the terms:
15 + 2t = -6 + 6t

Solving
15 + 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.
15 + 2t + -6t = -6 + 6t + -6t

Combine like terms: 2t + -6t = -4t
15 + -4t = -6 + 6t + -6t

Combine like terms: 6t + -6t = 0
15 + -4t = -6 + 0
15 + -4t = -6

Add '-15' to each side of the equation.
15 + -15 + -4t = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -4t = -6 + -15
-4t = -6 + -15

Combine like terms: -6 + -15 = -21
-4t = -21

Divide each side by '-4'.
t = 5.25

Simplifying
t = 5.25