(t+3)+(2t-10)+(12-5t)=

Solution for (t+3)+(2t-10)+(12-5t)= equation:

Simplifying
(t + 3) + (2t + -10) + (12 + -5t) = 0

Reorder the terms:
(3 + t) + (2t + -10) + (12 + -5t) = 0

Remove parenthesis around (3 + t)
3 + t + (2t + -10) + (12 + -5t) = 0

Reorder the terms:
3 + t + (-10 + 2t) + (12 + -5t) = 0

Remove parenthesis around (-10 + 2t)
3 + t + -10 + 2t + (12 + -5t) = 0

Remove parenthesis around (12 + -5t)
3 + t + -10 + 2t + 12 + -5t = 0

Reorder the terms:
3 + -10 + 12 + t + 2t + -5t = 0

Combine like terms: 3 + -10 = -7
-7 + 12 + t + 2t + -5t = 0

Combine like terms: -7 + 12 = 5
5 + t + 2t + -5t = 0

Combine like terms: t + 2t = 3t
5 + 3t + -5t = 0

Combine like terms: 3t + -5t = -2t
5 + -2t = 0

Solving
5 + -2t = 0

Solving for variable 't'.

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

Add '-5' to each side of the equation.
5 + -5 + -2t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2t = 0 + -5
-2t = 0 + -5

Combine like terms: 0 + -5 = -5
-2t = -5

Divide each side by '-2'.
t = 2.5

Simplifying
t = 2.5