-5(t-6)-(t+6)=10

Solution for -5(t-6)-(t+6)=10 equation:

Simplifying
-5(t + -6) + -1(t + 6) = 10

Reorder the terms:
-5(-6 + t) + -1(t + 6) = 10
(-6 * -5 + t * -5) + -1(t + 6) = 10
(30 + -5t) + -1(t + 6) = 10

Reorder the terms:
30 + -5t + -1(6 + t) = 10
30 + -5t + (6 * -1 + t * -1) = 10
30 + -5t + (-6 + -1t) = 10

Reorder the terms:
30 + -6 + -5t + -1t = 10

Combine like terms: 30 + -6 = 24
24 + -5t + -1t = 10

Combine like terms: -5t + -1t = -6t
24 + -6t = 10

Solving
24 + -6t = 10

Solving for variable 't'.

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

Add '-24' to each side of the equation.
24 + -24 + -6t = 10 + -24

Combine like terms: 24 + -24 = 0
0 + -6t = 10 + -24
-6t = 10 + -24

Combine like terms: 10 + -24 = -14
-6t = -14

Divide each side by '-6'.
t = 2.333333333

Simplifying
t = 2.333333333