(3-4t)-(9-5t)=0

Solution for (3-4t)-(9-5t)=0 equation:

Simplifying
(3 + -4t) + -1(9 + -5t) = 0

Remove parenthesis around (3 + -4t)
3 + -4t + -1(9 + -5t) = 0
3 + -4t + (9 * -1 + -5t * -1) = 0
3 + -4t + (-9 + 5t) = 0

Reorder the terms:
3 + -9 + -4t + 5t = 0

Combine like terms: 3 + -9 = -6
-6 + -4t + 5t = 0

Combine like terms: -4t + 5t = 1t
-6 + 1t = 0

Solving
-6 + 1t = 0

Solving for variable 't'.

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

Add '6' to each side of the equation.
-6 + 6 + 1t = 0 + 6

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

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

Divide each side by '1'.
t = 6

Simplifying
t = 6