-3(t-1)+6t=5t-1

Solution for -3(t-1)+6t=5t-1 equation:

Simplifying
-3(t + -1) + 6t = 5t + -1

Reorder the terms:
-3(-1 + t) + 6t = 5t + -1
(-1 * -3 + t * -3) + 6t = 5t + -1
(3 + -3t) + 6t = 5t + -1

Combine like terms: -3t + 6t = 3t
3 + 3t = 5t + -1

Reorder the terms:
3 + 3t = -1 + 5t

Solving
3 + 3t = -1 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
3 + 3t + -5t = -1 + 5t + -5t

Combine like terms: 3t + -5t = -2t
3 + -2t = -1 + 5t + -5t

Combine like terms: 5t + -5t = 0
3 + -2t = -1 + 0
3 + -2t = -1

Add '-3' to each side of the equation.
3 + -3 + -2t = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -2t = -1 + -3
-2t = -1 + -3

Combine like terms: -1 + -3 = -4
-2t = -4

Divide each side by '-2'.
t = 2

Simplifying
t = 2