2t-9t+3=6-5t

Solution for 2t-9t+3=6-5t equation:

Simplifying
2t + -9t + 3 = 6 + -5t

Reorder the terms:
3 + 2t + -9t = 6 + -5t

Combine like terms: 2t + -9t = -7t
3 + -7t = 6 + -5t

Solving
3 + -7t = 6 + -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 + -7t + 5t = 6 + -5t + 5t

Combine like terms: -7t + 5t = -2t
3 + -2t = 6 + -5t + 5t

Combine like terms: -5t + 5t = 0
3 + -2t = 6 + 0
3 + -2t = 6

Add '-3' to each side of the equation.
3 + -3 + -2t = 6 + -3

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

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

Divide each side by '-2'.
t = -1.5

Simplifying
t = -1.5