-6(t-5)-(t+8)=3

Solution for -6(t-5)-(t+8)=3 equation:

Simplifying
-6(t + -5) + -1(t + 8) = 3

Reorder the terms:
-6(-5 + t) + -1(t + 8) = 3
(-5 * -6 + t * -6) + -1(t + 8) = 3
(30 + -6t) + -1(t + 8) = 3

Reorder the terms:
30 + -6t + -1(8 + t) = 3
30 + -6t + (8 * -1 + t * -1) = 3
30 + -6t + (-8 + -1t) = 3

Reorder the terms:
30 + -8 + -6t + -1t = 3

Combine like terms: 30 + -8 = 22
22 + -6t + -1t = 3

Combine like terms: -6t + -1t = -7t
22 + -7t = 3

Solving
22 + -7t = 3

Solving for variable 't'.

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

Add '-22' to each side of the equation.
22 + -22 + -7t = 3 + -22

Combine like terms: 22 + -22 = 0
0 + -7t = 3 + -22
-7t = 3 + -22

Combine like terms: 3 + -22 = -19
-7t = -19

Divide each side by '-7'.
t = 2.714285714

Simplifying
t = 2.714285714