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

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

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

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

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

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

Combine like terms: 20 + -5 = 15
15 + -4t + -1t = 10

Combine like terms: -4t + -1t = -5t
15 + -5t = 10

Solving
15 + -5t = 10

Solving for variable 't'.

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

Add '-15' to each side of the equation.
15 + -15 + -5t = 10 + -15

Combine like terms: 15 + -15 = 0
0 + -5t = 10 + -15
-5t = 10 + -15

Combine like terms: 10 + -15 = -5
-5t = -5

Divide each side by '-5'.
t = 1

Simplifying
t = 1