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 for easier multiplication:
8(2t) + -3(t + -4) = 6(t + -7) + 8

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

Multiply 8 * 2
16t + -3(t + -4) = 6(t + -7) + 8

Reorder the terms:
16t + -3(-4 + t) = 6(t + -7) + 8
16t + (-4 * -3 + t * -3) = 6(t + -7) + 8
16t + (12 + -3t) = 6(t + -7) + 8

Reorder the terms:
12 + 16t + -3t = 6(t + -7) + 8

Combine like terms: 16t + -3t = 13t
12 + 13t = 6(t + -7) + 8

Reorder the terms:
12 + 13t = 6(-7 + t) + 8
12 + 13t = (-7 * 6 + t * 6) + 8
12 + 13t = (-42 + 6t) + 8

Reorder the terms:
12 + 13t = -42 + 8 + 6t

Combine like terms: -42 + 8 = -34
12 + 13t = -34 + 6t

Solving
12 + 13t = -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.
12 + 13t + -6t = -34 + 6t + -6t

Combine like terms: 13t + -6t = 7t
12 + 7t = -34 + 6t + -6t

Combine like terms: 6t + -6t = 0
12 + 7t = -34 + 0
12 + 7t = -34

Add '-12' to each side of the equation.
12 + -12 + 7t = -34 + -12

Combine like terms: 12 + -12 = 0
0 + 7t = -34 + -12
7t = -34 + -12

Combine like terms: -34 + -12 = -46
7t = -46

Divide each side by '7'.
t = -6.571428571

Simplifying
t = -6.571428571