8+(t+2)-3(t-4)=6(t-7)+8

Solution for 8+(t+2)-3(t-4)=6(t-7)+8 equation:

Simplifying
8 + (t + 2) + -3(t + -4) = 6(t + -7) + 8

Reorder the terms:
8 + (2 + t) + -3(t + -4) = 6(t + -7) + 8

Remove parenthesis around (2 + t)
8 + 2 + t + -3(t + -4) = 6(t + -7) + 8

Reorder the terms:
8 + 2 + t + -3(-4 + t) = 6(t + -7) + 8
8 + 2 + t + (-4 * -3 + t * -3) = 6(t + -7) + 8
8 + 2 + t + (12 + -3t) = 6(t + -7) + 8

Reorder the terms:
8 + 2 + 12 + t + -3t = 6(t + -7) + 8

Combine like terms: 8 + 2 = 10
10 + 12 + t + -3t = 6(t + -7) + 8

Combine like terms: 10 + 12 = 22
22 + t + -3t = 6(t + -7) + 8

Combine like terms: t + -3t = -2t
22 + -2t = 6(t + -7) + 8

Reorder the terms:
22 + -2t = 6(-7 + t) + 8
22 + -2t = (-7 * 6 + t * 6) + 8
22 + -2t = (-42 + 6t) + 8

Reorder the terms:
22 + -2t = -42 + 8 + 6t

Combine like terms: -42 + 8 = -34
22 + -2t = -34 + 6t

Solving
22 + -2t = -34 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
22 + -2t + -6t = -34 + 6t + -6t

Combine like terms: -2t + -6t = -8t
22 + -8t = -34 + 6t + -6t

Combine like terms: 6t + -6t = 0
22 + -8t = -34 + 0
22 + -8t = -34

Add '-22' to each side of the equation.
22 + -22 + -8t = -34 + -22

Combine like terms: 22 + -22 = 0
0 + -8t = -34 + -22
-8t = -34 + -22

Combine like terms: -34 + -22 = -56
-8t = -56

Divide each side by '-8'.
t = 7

Simplifying
t = 7