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

Solution for 4(5t+1)-8=t-(t-3) equation:

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

Reorder the terms:
4(1 + 5t) + -8 = t + -1(t + -3)
(1 * 4 + 5t * 4) + -8 = t + -1(t + -3)
(4 + 20t) + -8 = t + -1(t + -3)

Reorder the terms:
4 + -8 + 20t = t + -1(t + -3)

Combine like terms: 4 + -8 = -4
-4 + 20t = t + -1(t + -3)

Reorder the terms:
-4 + 20t = t + -1(-3 + t)
-4 + 20t = t + (-3 * -1 + t * -1)
-4 + 20t = t + (3 + -1t)

Reorder the terms:
-4 + 20t = 3 + t + -1t

Combine like terms: t + -1t = 0
-4 + 20t = 3 + 0
-4 + 20t = 3

Solving
-4 + 20t = 3

Solving for variable 't'.

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

Add '4' to each side of the equation.
-4 + 4 + 20t = 3 + 4

Combine like terms: -4 + 4 = 0
0 + 20t = 3 + 4
20t = 3 + 4

Combine like terms: 3 + 4 = 7
20t = 7

Divide each side by '20'.
t = 0.35

Simplifying
t = 0.35