2(5t+1)-8=t-(t+5)

Solution for 2(5t+1)-8=t-(t+5) equation:

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

Reorder the terms:
2(1 + 5t) + -8 = t + -1(t + 5)
(1 * 2 + 5t * 2) + -8 = t + -1(t + 5)
(2 + 10t) + -8 = t + -1(t + 5)

Reorder the terms:
2 + -8 + 10t = t + -1(t + 5)

Combine like terms: 2 + -8 = -6
-6 + 10t = t + -1(t + 5)

Reorder the terms:
-6 + 10t = t + -1(5 + t)
-6 + 10t = t + (5 * -1 + t * -1)
-6 + 10t = t + (-5 + -1t)

Reorder the terms:
-6 + 10t = -5 + t + -1t

Combine like terms: t + -1t = 0
-6 + 10t = -5 + 0
-6 + 10t = -5

Solving
-6 + 10t = -5

Solving for variable 't'.

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

Add '6' to each side of the equation.
-6 + 6 + 10t = -5 + 6

Combine like terms: -6 + 6 = 0
0 + 10t = -5 + 6
10t = -5 + 6

Combine like terms: -5 + 6 = 1
10t = 1

Divide each side by '10'.
t = 0.1

Simplifying
t = 0.1