-7(t-2)-(t+3)=5

Solution for -7(t-2)-(t+3)=5 equation:

Simplifying
-7(t + -2) + -1(t + 3) = 5

Reorder the terms:
-7(-2 + t) + -1(t + 3) = 5
(-2 * -7 + t * -7) + -1(t + 3) = 5
(14 + -7t) + -1(t + 3) = 5

Reorder the terms:
14 + -7t + -1(3 + t) = 5
14 + -7t + (3 * -1 + t * -1) = 5
14 + -7t + (-3 + -1t) = 5

Reorder the terms:
14 + -3 + -7t + -1t = 5

Combine like terms: 14 + -3 = 11
11 + -7t + -1t = 5

Combine like terms: -7t + -1t = -8t
11 + -8t = 5

Solving
11 + -8t = 5

Solving for variable 't'.

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

Add '-11' to each side of the equation.
11 + -11 + -8t = 5 + -11

Combine like terms: 11 + -11 = 0
0 + -8t = 5 + -11
-8t = 5 + -11

Combine like terms: 5 + -11 = -6
-8t = -6

Divide each side by '-8'.
t = 0.75

Simplifying
t = 0.75