5(6t+1)-11=T-(t+5)

Solution for 5(6t+1)-11=T-(t+5) equation:

Simplifying
5(6t + 1) + -11 = T + -1(t + 5)

Reorder the terms:
5(1 + 6t) + -11 = T + -1(t + 5)
(1 * 5 + 6t * 5) + -11 = T + -1(t + 5)
(5 + 30t) + -11 = T + -1(t + 5)

Reorder the terms:
5 + -11 + 30t = T + -1(t + 5)

Combine like terms: 5 + -11 = -6
-6 + 30t = T + -1(t + 5)

Reorder the terms:
-6 + 30t = T + -1(5 + t)
-6 + 30t = T + (5 * -1 + t * -1)
-6 + 30t = T + (-5 + -1t)

Reorder the terms:
-6 + 30t = -5 + T + -1t

Solving
-6 + 30t = -5 + T + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
-6 + 30t + t = -5 + T + -1t + t

Combine like terms: 30t + t = 31t
-6 + 31t = -5 + T + -1t + t

Combine like terms: -1t + t = 0
-6 + 31t = -5 + T + 0
-6 + 31t = -5 + T

Add '6' to each side of the equation.
-6 + 6 + 31t = -5 + 6 + T

Combine like terms: -6 + 6 = 0
0 + 31t = -5 + 6 + T
31t = -5 + 6 + T

Combine like terms: -5 + 6 = 1
31t = 1 + T

Divide each side by '31'.
t = 0.03225806452 + 0.03225806452T

Simplifying
t = 0.03225806452 + 0.03225806452T