-2(t-3)+9t=5t-1

Solution for -2(t-3)+9t=5t-1 equation:

Simplifying
-2(t + -3) + 9t = 5t + -1

Reorder the terms:
-2(-3 + t) + 9t = 5t + -1
(-3 * -2 + t * -2) + 9t = 5t + -1
(6 + -2t) + 9t = 5t + -1

Combine like terms: -2t + 9t = 7t
6 + 7t = 5t + -1

Reorder the terms:
6 + 7t = -1 + 5t

Solving
6 + 7t = -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.
6 + 7t + -5t = -1 + 5t + -5t

Combine like terms: 7t + -5t = 2t
6 + 2t = -1 + 5t + -5t

Combine like terms: 5t + -5t = 0
6 + 2t = -1 + 0
6 + 2t = -1

Add '-6' to each side of the equation.
6 + -6 + 2t = -1 + -6

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

Combine like terms: -1 + -6 = -7
2t = -7

Divide each side by '2'.
t = -3.5

Simplifying
t = -3.5