[t-(4T+7)+5]=2(t+2)

Solution for [t-(4T+7)+5]=2(t+2) equation:

Simplifying
[t + -1(4T + 7) + 5] = 2(t + 2)

Reorder the terms:
[t + -1(7 + 4T) + 5] = 2(t + 2)
[t + (7 * -1 + 4T * -1) + 5] = 2(t + 2)
[t + (-7 + -4T) + 5] = 2(t + 2)

Reorder the terms:
[-7 + 5 + -4T + t] = 2(t + 2)

Combine like terms: -7 + 5 = -2
[-2 + -4T + t] = 2(t + 2)

Remove brackets around [-2 + -4T + t]
-2 + -4T + t = 2(t + 2)

Reorder the terms:
-2 + -4T + t = 2(2 + t)
-2 + -4T + t = (2 * 2 + t * 2)
-2 + -4T + t = (4 + 2t)

Solving
-2 + -4T + t = 4 + 2t

Solving for variable 'T'.

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

Add '2' to each side of the equation.
-2 + -4T + 2 + t = 4 + 2 + 2t

Reorder the terms:
-2 + 2 + -4T + t = 4 + 2 + 2t

Combine like terms: -2 + 2 = 0
0 + -4T + t = 4 + 2 + 2t
-4T + t = 4 + 2 + 2t

Combine like terms: 4 + 2 = 6
-4T + t = 6 + 2t

Add '-1t' to each side of the equation.
-4T + t + -1t = 6 + 2t + -1t

Combine like terms: t + -1t = 0
-4T + 0 = 6 + 2t + -1t
-4T = 6 + 2t + -1t

Combine like terms: 2t + -1t = 1t
-4T = 6 + 1t

Divide each side by '-4'.
T = -1.5 + -0.25t

Simplifying
T = -1.5 + -0.25t