3-(t+5)+(4t+2)=8

Solution for 3-(t+5)+(4t+2)=8 equation:

Simplifying
3 + -1(t + 5) + (4t + 2) = 8

Reorder the terms:
3 + -1(5 + t) + (4t + 2) = 8
3 + (5 * -1 + t * -1) + (4t + 2) = 8
3 + (-5 + -1t) + (4t + 2) = 8

Reorder the terms:
3 + -5 + -1t + (2 + 4t) = 8

Remove parenthesis around (2 + 4t)
3 + -5 + -1t + 2 + 4t = 8

Reorder the terms:
3 + -5 + 2 + -1t + 4t = 8

Combine like terms: 3 + -5 = -2
-2 + 2 + -1t + 4t = 8

Combine like terms: -2 + 2 = 0
0 + -1t + 4t = 8
-1t + 4t = 8

Combine like terms: -1t + 4t = 3t
3t = 8

Solving
3t = 8

Solving for variable 't'.

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

Divide each side by '3'.
t = 2.666666667

Simplifying
t = 2.666666667