-5(t-4)-(t+6)=10

Solution for -5(t-4)-(t+6)=10 equation:

Simplifying
-5(t + -4) + -1(t + 6) = 10

Reorder the terms:
-5(-4 + t) + -1(t + 6) = 10
(-4 * -5 + t * -5) + -1(t + 6) = 10
(20 + -5t) + -1(t + 6) = 10

Reorder the terms:
20 + -5t + -1(6 + t) = 10
20 + -5t + (6 * -1 + t * -1) = 10
20 + -5t + (-6 + -1t) = 10

Reorder the terms:
20 + -6 + -5t + -1t = 10

Combine like terms: 20 + -6 = 14
14 + -5t + -1t = 10

Combine like terms: -5t + -1t = -6t
14 + -6t = 10

Solving
14 + -6t = 10

Solving for variable 't'.

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

Add '-14' to each side of the equation.
14 + -14 + -6t = 10 + -14

Combine like terms: 14 + -14 = 0
0 + -6t = 10 + -14
-6t = 10 + -14

Combine like terms: 10 + -14 = -4
-6t = -4

Divide each side by '-6'.
t = 0.6666666667

Simplifying
t = 0.6666666667