4(8t+1)=2(t+7)+2(t+5)

Solution for 4(8t+1)=2(t+7)+2(t+5) equation:

Simplifying
4(8t + 1) = 2(t + 7) + 2(t + 5)

Reorder the terms:
4(1 + 8t) = 2(t + 7) + 2(t + 5)
(1 * 4 + 8t * 4) = 2(t + 7) + 2(t + 5)
(4 + 32t) = 2(t + 7) + 2(t + 5)

Reorder the terms:
4 + 32t = 2(7 + t) + 2(t + 5)
4 + 32t = (7 * 2 + t * 2) + 2(t + 5)
4 + 32t = (14 + 2t) + 2(t + 5)

Reorder the terms:
4 + 32t = 14 + 2t + 2(5 + t)
4 + 32t = 14 + 2t + (5 * 2 + t * 2)
4 + 32t = 14 + 2t + (10 + 2t)

Reorder the terms:
4 + 32t = 14 + 10 + 2t + 2t

Combine like terms: 14 + 10 = 24
4 + 32t = 24 + 2t + 2t

Combine like terms: 2t + 2t = 4t
4 + 32t = 24 + 4t

Solving
4 + 32t = 24 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
4 + 32t + -4t = 24 + 4t + -4t

Combine like terms: 32t + -4t = 28t
4 + 28t = 24 + 4t + -4t

Combine like terms: 4t + -4t = 0
4 + 28t = 24 + 0
4 + 28t = 24

Add '-4' to each side of the equation.
4 + -4 + 28t = 24 + -4

Combine like terms: 4 + -4 = 0
0 + 28t = 24 + -4
28t = 24 + -4

Combine like terms: 24 + -4 = 20
28t = 20

Divide each side by '28'.
t = 0.7142857143

Simplifying
t = 0.7142857143