-7(t-5)-(t-8)=10

Solution for -7(t-5)-(t-8)=10 equation:

Simplifying
-7(t + -5) + -1(t + -8) = 10

Reorder the terms:
-7(-5 + t) + -1(t + -8) = 10
(-5 * -7 + t * -7) + -1(t + -8) = 10
(35 + -7t) + -1(t + -8) = 10

Reorder the terms:
35 + -7t + -1(-8 + t) = 10
35 + -7t + (-8 * -1 + t * -1) = 10
35 + -7t + (8 + -1t) = 10

Reorder the terms:
35 + 8 + -7t + -1t = 10

Combine like terms: 35 + 8 = 43
43 + -7t + -1t = 10

Combine like terms: -7t + -1t = -8t
43 + -8t = 10

Solving
43 + -8t = 10

Solving for variable 't'.

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

Add '-43' to each side of the equation.
43 + -43 + -8t = 10 + -43

Combine like terms: 43 + -43 = 0
0 + -8t = 10 + -43
-8t = 10 + -43

Combine like terms: 10 + -43 = -33
-8t = -33

Divide each side by '-8'.
t = 4.125

Simplifying
t = 4.125