-5(t-8)-(t+8)=5

Solution for -5(t-8)-(t+8)=5 equation:

Simplifying
-5(t + -8) + -1(t + 8) = 5

Reorder the terms:
-5(-8 + t) + -1(t + 8) = 5
(-8 * -5 + t * -5) + -1(t + 8) = 5
(40 + -5t) + -1(t + 8) = 5

Reorder the terms:
40 + -5t + -1(8 + t) = 5
40 + -5t + (8 * -1 + t * -1) = 5
40 + -5t + (-8 + -1t) = 5

Reorder the terms:
40 + -8 + -5t + -1t = 5

Combine like terms: 40 + -8 = 32
32 + -5t + -1t = 5

Combine like terms: -5t + -1t = -6t
32 + -6t = 5

Solving
32 + -6t = 5

Solving for variable 't'.

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

Add '-32' to each side of the equation.
32 + -32 + -6t = 5 + -32

Combine like terms: 32 + -32 = 0
0 + -6t = 5 + -32
-6t = 5 + -32

Combine like terms: 5 + -32 = -27
-6t = -27

Divide each side by '-6'.
t = 4.5

Simplifying
t = 4.5