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

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

Simplifying
t + -2(3 + -2t) = 2t + 9
t + (3 * -2 + -2t * -2) = 2t + 9
t + (-6 + 4t) = 2t + 9

Reorder the terms:
-6 + t + 4t = 2t + 9

Combine like terms: t + 4t = 5t
-6 + 5t = 2t + 9

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

Solving
-6 + 5t = 9 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
-6 + 5t + -2t = 9 + 2t + -2t

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

Combine like terms: 2t + -2t = 0
-6 + 3t = 9 + 0
-6 + 3t = 9

Add '6' to each side of the equation.
-6 + 6 + 3t = 9 + 6

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

Combine like terms: 9 + 6 = 15
3t = 15

Divide each side by '3'.
t = 5

Simplifying
t = 5