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

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

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

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

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

Multiply -2 * 5
5t + -10t = 3 + t + -8

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

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

Combine like terms: 3 + -8 = -5
-5t = -5 + t

Solving
-5t = -5 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
-5t + -1t = -5 + t + -1t

Combine like terms: -5t + -1t = -6t
-6t = -5 + t + -1t

Combine like terms: t + -1t = 0
-6t = -5 + 0
-6t = -5

Divide each side by '-6'.
t = 0.8333333333

Simplifying
t = 0.8333333333