8(t+2)-3(t-4)=(t-7)+8

Solution for 8(t+2)-3(t-4)=(t-7)+8 equation:

Simplifying
8(t + 2) + -3(t + -4) = (t + -7) + 8

Reorder the terms:
8(2 + t) + -3(t + -4) = (t + -7) + 8
(2 * 8 + t * 8) + -3(t + -4) = (t + -7) + 8
(16 + 8t) + -3(t + -4) = (t + -7) + 8

Reorder the terms:
16 + 8t + -3(-4 + t) = (t + -7) + 8
16 + 8t + (-4 * -3 + t * -3) = (t + -7) + 8
16 + 8t + (12 + -3t) = (t + -7) + 8

Reorder the terms:
16 + 12 + 8t + -3t = (t + -7) + 8

Combine like terms: 16 + 12 = 28
28 + 8t + -3t = (t + -7) + 8

Combine like terms: 8t + -3t = 5t
28 + 5t = (t + -7) + 8

Reorder the terms:
28 + 5t = (-7 + t) + 8

Remove parenthesis around (-7 + t)
28 + 5t = -7 + t + 8

Reorder the terms:
28 + 5t = -7 + 8 + t

Combine like terms: -7 + 8 = 1
28 + 5t = 1 + t

Solving
28 + 5t = 1 + 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.
28 + 5t + -1t = 1 + t + -1t

Combine like terms: 5t + -1t = 4t
28 + 4t = 1 + t + -1t

Combine like terms: t + -1t = 0
28 + 4t = 1 + 0
28 + 4t = 1

Add '-28' to each side of the equation.
28 + -28 + 4t = 1 + -28

Combine like terms: 28 + -28 = 0
0 + 4t = 1 + -28
4t = 1 + -28

Combine like terms: 1 + -28 = -27
4t = -27

Divide each side by '4'.
t = -6.75

Simplifying
t = -6.75