-8(t-5)-(t+5)=10

Solution for -8(t-5)-(t+5)=10 equation:

Simplifying
-8(t + -5) + -1(t + 5) = 10

Reorder the terms:
-8(-5 + t) + -1(t + 5) = 10
(-5 * -8 + t * -8) + -1(t + 5) = 10
(40 + -8t) + -1(t + 5) = 10

Reorder the terms:
40 + -8t + -1(5 + t) = 10
40 + -8t + (5 * -1 + t * -1) = 10
40 + -8t + (-5 + -1t) = 10

Reorder the terms:
40 + -5 + -8t + -1t = 10

Combine like terms: 40 + -5 = 35
35 + -8t + -1t = 10

Combine like terms: -8t + -1t = -9t
35 + -9t = 10

Solving
35 + -9t = 10

Solving for variable 't'.

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

Add '-35' to each side of the equation.
35 + -35 + -9t = 10 + -35

Combine like terms: 35 + -35 = 0
0 + -9t = 10 + -35
-9t = 10 + -35

Combine like terms: 10 + -35 = -25
-9t = -25

Divide each side by '-9'.
t = 2.777777778

Simplifying
t = 2.777777778