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

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

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

Combine like terms: 16 + 12 = 28
28 + 8t + -3t = 6(t + -7) + -8

Combine like terms: 8t + -3t = 5t
28 + 5t = 6(t + -7) + -8

Reorder the terms:
28 + 5t = 6(-7 + t) + -8
28 + 5t = (-7 * 6 + t * 6) + -8
28 + 5t = (-42 + 6t) + -8

Reorder the terms:
28 + 5t = -42 + -8 + 6t

Combine like terms: -42 + -8 = -50
28 + 5t = -50 + 6t

Solving
28 + 5t = -50 + 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.
28 + 5t + -6t = -50 + 6t + -6t

Combine like terms: 5t + -6t = -1t
28 + -1t = -50 + 6t + -6t

Combine like terms: 6t + -6t = 0
28 + -1t = -50 + 0
28 + -1t = -50

Add '-28' to each side of the equation.
28 + -28 + -1t = -50 + -28

Combine like terms: 28 + -28 = 0
0 + -1t = -50 + -28
-1t = -50 + -28

Combine like terms: -50 + -28 = -78
-1t = -78

Divide each side by '-1'.
t = 78

Simplifying
t = 78