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

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

Simplifying
5t + -2(5 + 4t) = 3 + t + -8
5t + (5 * -2 + 4t * -2) = 3 + t + -8
5t + (-10 + -8t) = 3 + t + -8

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

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

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

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

Solving
-10 + -3t = -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.
-10 + -3t + -1t = -5 + t + -1t

Combine like terms: -3t + -1t = -4t
-10 + -4t = -5 + t + -1t

Combine like terms: t + -1t = 0
-10 + -4t = -5 + 0
-10 + -4t = -5

Add '10' to each side of the equation.
-10 + 10 + -4t = -5 + 10

Combine like terms: -10 + 10 = 0
0 + -4t = -5 + 10
-4t = -5 + 10

Combine like terms: -5 + 10 = 5
-4t = 5

Divide each side by '-4'.
t = -1.25

Simplifying
t = -1.25