-5(t-8)-(t+3)=4

Solution for -5(t-8)-(t+3)=4 equation:

Simplifying
-5(t + -8) + -1(t + 3) = 4

Reorder the terms:
-5(-8 + t) + -1(t + 3) = 4
(-8 * -5 + t * -5) + -1(t + 3) = 4
(40 + -5t) + -1(t + 3) = 4

Reorder the terms:
40 + -5t + -1(3 + t) = 4
40 + -5t + (3 * -1 + t * -1) = 4
40 + -5t + (-3 + -1t) = 4

Reorder the terms:
40 + -3 + -5t + -1t = 4

Combine like terms: 40 + -3 = 37
37 + -5t + -1t = 4

Combine like terms: -5t + -1t = -6t
37 + -6t = 4

Solving
37 + -6t = 4

Solving for variable 't'.

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

Add '-37' to each side of the equation.
37 + -37 + -6t = 4 + -37

Combine like terms: 37 + -37 = 0
0 + -6t = 4 + -37
-6t = 4 + -37

Combine like terms: 4 + -37 = -33
-6t = -33

Divide each side by '-6'.
t = 5.5

Simplifying
t = 5.5