T+2(t-4)=5(1-2t)

Solution for T+2(t-4)=5(1-2t) equation:

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

Reorder the terms:
T + 2(-4 + t) = 5(1 + -2t)
T + (-4 * 2 + t * 2) = 5(1 + -2t)
T + (-8 + 2t) = 5(1 + -2t)

Reorder the terms:
-8 + T + 2t = 5(1 + -2t)
-8 + T + 2t = (1 * 5 + -2t * 5)
-8 + T + 2t = (5 + -10t)

Solving
-8 + T + 2t = 5 + -10t

Solving for variable 'T'.

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

Add '8' to each side of the equation.
-8 + T + 8 + 2t = 5 + 8 + -10t

Reorder the terms:
-8 + 8 + T + 2t = 5 + 8 + -10t

Combine like terms: -8 + 8 = 0
0 + T + 2t = 5 + 8 + -10t
T + 2t = 5 + 8 + -10t

Combine like terms: 5 + 8 = 13
T + 2t = 13 + -10t

Add '-2t' to each side of the equation.
T + 2t + -2t = 13 + -10t + -2t

Combine like terms: 2t + -2t = 0
T + 0 = 13 + -10t + -2t
T = 13 + -10t + -2t

Combine like terms: -10t + -2t = -12t
T = 13 + -12t

Simplifying
T = 13 + -12t