-2(t-1)+5t=6t-1

Solution for -2(t-1)+5t=6t-1 equation:

Simplifying
-2(t + -1) + 5t = 6t + -1

Reorder the terms:
-2(-1 + t) + 5t = 6t + -1
(-1 * -2 + t * -2) + 5t = 6t + -1
(2 + -2t) + 5t = 6t + -1

Combine like terms: -2t + 5t = 3t
2 + 3t = 6t + -1

Reorder the terms:
2 + 3t = -1 + 6t

Solving
2 + 3t = -1 + 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.
2 + 3t + -6t = -1 + 6t + -6t

Combine like terms: 3t + -6t = -3t
2 + -3t = -1 + 6t + -6t

Combine like terms: 6t + -6t = 0
2 + -3t = -1 + 0
2 + -3t = -1

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

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

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

Divide each side by '-3'.
t = 1

Simplifying
t = 1