2[t-(9-2t)]=4(2t-4)

Solution for 2[t-(9-2t)]=4(2t-4) equation:

Simplifying
2[t + -1(9 + -2t)] = 4(2t + -4)
2[t + (9 * -1 + -2t * -1)] = 4(2t + -4)
2[t + (-9 + 2t)] = 4(2t + -4)

Reorder the terms:
2[-9 + t + 2t] = 4(2t + -4)

Combine like terms: t + 2t = 3t
2[-9 + 3t] = 4(2t + -4)
[-9 * 2 + 3t * 2] = 4(2t + -4)
[-18 + 6t] = 4(2t + -4)

Reorder the terms:
-18 + 6t = 4(-4 + 2t)
-18 + 6t = (-4 * 4 + 2t * 4)
-18 + 6t = (-16 + 8t)

Solving
-18 + 6t = -16 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
-18 + 6t + -8t = -16 + 8t + -8t

Combine like terms: 6t + -8t = -2t
-18 + -2t = -16 + 8t + -8t

Combine like terms: 8t + -8t = 0
-18 + -2t = -16 + 0
-18 + -2t = -16

Add '18' to each side of the equation.
-18 + 18 + -2t = -16 + 18

Combine like terms: -18 + 18 = 0
0 + -2t = -16 + 18
-2t = -16 + 18

Combine like terms: -16 + 18 = 2
-2t = 2

Divide each side by '-2'.
t = -1

Simplifying
t = -1