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

Solution for 8(t+2)-3(t-4)=16(t-7)+8 equation:

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

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

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

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

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

Combine like terms: 8t + -3t = 5t
28 + 5t = 16(t + -7) + 8

Reorder the terms:
28 + 5t = 16(-7 + t) + 8
28 + 5t = (-7 * 16 + t * 16) + 8
28 + 5t = (-112 + 16t) + 8

Reorder the terms:
28 + 5t = -112 + 8 + 16t

Combine like terms: -112 + 8 = -104
28 + 5t = -104 + 16t

Solving
28 + 5t = -104 + 16t

Solving for variable 't'.

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

Add '-16t' to each side of the equation.
28 + 5t + -16t = -104 + 16t + -16t

Combine like terms: 5t + -16t = -11t
28 + -11t = -104 + 16t + -16t

Combine like terms: 16t + -16t = 0
28 + -11t = -104 + 0
28 + -11t = -104

Add '-28' to each side of the equation.
28 + -28 + -11t = -104 + -28

Combine like terms: 28 + -28 = 0
0 + -11t = -104 + -28
-11t = -104 + -28

Combine like terms: -104 + -28 = -132
-11t = -132

Divide each side by '-11'.
t = 12

Simplifying
t = 12