T-(7-3t)+5=2t+10

Solution for T-(7-3t)+5=2t+10 equation:

Simplifying
T + -1(7 + -3t) + 5 = 2t + 10
T + (7 * -1 + -3t * -1) + 5 = 2t + 10
T + (-7 + 3t) + 5 = 2t + 10

Reorder the terms:
-7 + 5 + T + 3t = 2t + 10

Combine like terms: -7 + 5 = -2
-2 + T + 3t = 2t + 10

Reorder the terms:
-2 + T + 3t = 10 + 2t

Solving
-2 + T + 3t = 10 + 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 + T + 2 + 3t = 10 + 2 + 2t

Reorder the terms:
-2 + 2 + T + 3t = 10 + 2 + 2t

Combine like terms: -2 + 2 = 0
0 + T + 3t = 10 + 2 + 2t
T + 3t = 10 + 2 + 2t

Combine like terms: 10 + 2 = 12
T + 3t = 12 + 2t

Add '-3t' to each side of the equation.
T + 3t + -3t = 12 + 2t + -3t

Combine like terms: 3t + -3t = 0
T + 0 = 12 + 2t + -3t
T = 12 + 2t + -3t

Combine like terms: 2t + -3t = -1t
T = 12 + -1t

Simplifying
T = 12 + -1t