-8(t-5)-(t+3)=10

Solution for -8(t-5)-(t+3)=10 equation:

Simplifying
-8(t + -5) + -1(t + 3) = 10

Reorder the terms:
-8(-5 + t) + -1(t + 3) = 10
(-5 * -8 + t * -8) + -1(t + 3) = 10
(40 + -8t) + -1(t + 3) = 10

Reorder the terms:
40 + -8t + -1(3 + t) = 10
40 + -8t + (3 * -1 + t * -1) = 10
40 + -8t + (-3 + -1t) = 10

Reorder the terms:
40 + -3 + -8t + -1t = 10

Combine like terms: 40 + -3 = 37
37 + -8t + -1t = 10

Combine like terms: -8t + -1t = -9t
37 + -9t = 10

Solving
37 + -9t = 10

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 + -9t = 10 + -37

Combine like terms: 37 + -37 = 0
0 + -9t = 10 + -37
-9t = 10 + -37

Combine like terms: 10 + -37 = -27
-9t = -27

Divide each side by '-9'.
t = 3

Simplifying
t = 3