t=2t-3(1-t)

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

Simplifying
t = 2t + -3(1 + -1t)
t = 2t + (1 * -3 + -1t * -3)
t = 2t + (-3 + 3t)

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

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

Solving
t = -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.
t + -5t = -3 + 5t + -5t

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

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

Divide each side by '-4'.
t = 0.75

Simplifying
t = 0.75