-2(t-5)-(t+6)=10

Solution for -2(t-5)-(t+6)=10 equation:

Simplifying
-2(t + -5) + -1(t + 6) = 10

Reorder the terms:
-2(-5 + t) + -1(t + 6) = 10
(-5 * -2 + t * -2) + -1(t + 6) = 10
(10 + -2t) + -1(t + 6) = 10

Reorder the terms:
10 + -2t + -1(6 + t) = 10
10 + -2t + (6 * -1 + t * -1) = 10
10 + -2t + (-6 + -1t) = 10

Reorder the terms:
10 + -6 + -2t + -1t = 10

Combine like terms: 10 + -6 = 4
4 + -2t + -1t = 10

Combine like terms: -2t + -1t = -3t
4 + -3t = 10

Solving
4 + -3t = 10

Solving for variable 't'.

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

Add '-4' to each side of the equation.
4 + -4 + -3t = 10 + -4

Combine like terms: 4 + -4 = 0
0 + -3t = 10 + -4
-3t = 10 + -4

Combine like terms: 10 + -4 = 6
-3t = 6

Divide each side by '-3'.
t = -2

Simplifying
t = -2