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

Solution for -5(t-4)-(t+1)=10 equation:

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

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

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

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

Combine like terms: 20 + -1 = 19
19 + -5t + -1t = 10

Combine like terms: -5t + -1t = -6t
19 + -6t = 10

Solving
19 + -6t = 10

Solving for variable 't'.

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

Add '-19' to each side of the equation.
19 + -19 + -6t = 10 + -19

Combine like terms: 19 + -19 = 0
0 + -6t = 10 + -19
-6t = 10 + -19

Combine like terms: 10 + -19 = -9
-6t = -9

Divide each side by '-6'.
t = 1.5

Simplifying
t = 1.5