-5(t-7)-(t+8)=5

Solution for -5(t-7)-(t+8)=5 equation:

Simplifying
-5(t + -7) + -1(t + 8) = 5

Reorder the terms:
-5(-7 + t) + -1(t + 8) = 5
(-7 * -5 + t * -5) + -1(t + 8) = 5
(35 + -5t) + -1(t + 8) = 5

Reorder the terms:
35 + -5t + -1(8 + t) = 5
35 + -5t + (8 * -1 + t * -1) = 5
35 + -5t + (-8 + -1t) = 5

Reorder the terms:
35 + -8 + -5t + -1t = 5

Combine like terms: 35 + -8 = 27
27 + -5t + -1t = 5

Combine like terms: -5t + -1t = -6t
27 + -6t = 5

Solving
27 + -6t = 5

Solving for variable 't'.

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

Add '-27' to each side of the equation.
27 + -27 + -6t = 5 + -27

Combine like terms: 27 + -27 = 0
0 + -6t = 5 + -27
-6t = 5 + -27

Combine like terms: 5 + -27 = -22
-6t = -22

Divide each side by '-6'.
t = 3.666666667

Simplifying
t = 3.666666667