-9(T-5)-(T+8)=5

Solution for -9(T-5)-(T+8)=5 equation:

Simplifying
-9(T + -5) + -1(T + 8) = 5

Reorder the terms:
-9(-5 + T) + -1(T + 8) = 5
(-5 * -9 + T * -9) + -1(T + 8) = 5
(45 + -9T) + -1(T + 8) = 5

Reorder the terms:
45 + -9T + -1(8 + T) = 5
45 + -9T + (8 * -1 + T * -1) = 5
45 + -9T + (-8 + -1T) = 5

Reorder the terms:
45 + -8 + -9T + -1T = 5

Combine like terms: 45 + -8 = 37
37 + -9T + -1T = 5

Combine like terms: -9T + -1T = -10T
37 + -10T = 5

Solving
37 + -10T = 5

Solving for variable 'T'.

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

Add '-37' to each side of the equation.
37 + -37 + -10T = 5 + -37

Combine like terms: 37 + -37 = 0
0 + -10T = 5 + -37
-10T = 5 + -37

Combine like terms: 5 + -37 = -32
-10T = -32

Divide each side by '-10'.
T = 3.2

Simplifying
T = 3.2