-2(3t-3)+4t=5t-3

Solution for -2(3t-3)+4t=5t-3 equation:

Simplifying
-2(3t + -3) + 4t = 5t + -3

Reorder the terms:
-2(-3 + 3t) + 4t = 5t + -3
(-3 * -2 + 3t * -2) + 4t = 5t + -3
(6 + -6t) + 4t = 5t + -3

Combine like terms: -6t + 4t = -2t
6 + -2t = 5t + -3

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

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

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

Combine like terms: 5t + -5t = 0
6 + -7t = -3 + 0
6 + -7t = -3

Add '-6' to each side of the equation.
6 + -6 + -7t = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -7t = -3 + -6
-7t = -3 + -6

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

Divide each side by '-7'.
t = 1.285714286

Simplifying
t = 1.285714286