(t+3)+8-5(t+2)=

Solution for (t+3)+8-5(t+2)= equation:

Simplifying
(t + 3) + 8 + -5(t + 2) = 0

Reorder the terms:
(3 + t) + 8 + -5(t + 2) = 0

Remove parenthesis around (3 + t)
3 + t + 8 + -5(t + 2) = 0

Reorder the terms:
3 + t + 8 + -5(2 + t) = 0
3 + t + 8 + (2 * -5 + t * -5) = 0
3 + t + 8 + (-10 + -5t) = 0

Reorder the terms:
3 + 8 + -10 + t + -5t = 0

Combine like terms: 3 + 8 = 11
11 + -10 + t + -5t = 0

Combine like terms: 11 + -10 = 1
1 + t + -5t = 0

Combine like terms: t + -5t = -4t
1 + -4t = 0

Solving
1 + -4t = 0

Solving for variable 't'.

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

Add '-1' to each side of the equation.
1 + -1 + -4t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4t = 0 + -1
-4t = 0 + -1

Combine like terms: 0 + -1 = -1
-4t = -1

Divide each side by '-4'.
t = 0.25

Simplifying
t = 0.25