-6(t-3)-(t+5)=10

Solution for -6(t-3)-(t+5)=10 equation:

Simplifying
-6(t + -3) + -1(t + 5) = 10

Reorder the terms:
-6(-3 + t) + -1(t + 5) = 10
(-3 * -6 + t * -6) + -1(t + 5) = 10
(18 + -6t) + -1(t + 5) = 10

Reorder the terms:
18 + -6t + -1(5 + t) = 10
18 + -6t + (5 * -1 + t * -1) = 10
18 + -6t + (-5 + -1t) = 10

Reorder the terms:
18 + -5 + -6t + -1t = 10

Combine like terms: 18 + -5 = 13
13 + -6t + -1t = 10

Combine like terms: -6t + -1t = -7t
13 + -7t = 10

Solving
13 + -7t = 10

Solving for variable 't'.

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

Add '-13' to each side of the equation.
13 + -13 + -7t = 10 + -13

Combine like terms: 13 + -13 = 0
0 + -7t = 10 + -13
-7t = 10 + -13

Combine like terms: 10 + -13 = -3
-7t = -3

Divide each side by '-7'.
t = 0.4285714286

Simplifying
t = 0.4285714286