8(t+12)-3(t-4)=6(t-7)+8

Solution for 8(t+12)-3(t-4)=6(t-7)+8 equation:

Simplifying
8(t + 12) + -3(t + -4) = 6(t + -7) + 8

Reorder the terms:
8(12 + t) + -3(t + -4) = 6(t + -7) + 8
(12 * 8 + t * 8) + -3(t + -4) = 6(t + -7) + 8
(96 + 8t) + -3(t + -4) = 6(t + -7) + 8

Reorder the terms:
96 + 8t + -3(-4 + t) = 6(t + -7) + 8
96 + 8t + (-4 * -3 + t * -3) = 6(t + -7) + 8
96 + 8t + (12 + -3t) = 6(t + -7) + 8

Reorder the terms:
96 + 12 + 8t + -3t = 6(t + -7) + 8

Combine like terms: 96 + 12 = 108
108 + 8t + -3t = 6(t + -7) + 8

Combine like terms: 8t + -3t = 5t
108 + 5t = 6(t + -7) + 8

Reorder the terms:
108 + 5t = 6(-7 + t) + 8
108 + 5t = (-7 * 6 + t * 6) + 8
108 + 5t = (-42 + 6t) + 8

Reorder the terms:
108 + 5t = -42 + 8 + 6t

Combine like terms: -42 + 8 = -34
108 + 5t = -34 + 6t

Solving
108 + 5t = -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.
108 + 5t + -6t = -34 + 6t + -6t

Combine like terms: 5t + -6t = -1t
108 + -1t = -34 + 6t + -6t

Combine like terms: 6t + -6t = 0
108 + -1t = -34 + 0
108 + -1t = -34

Add '-108' to each side of the equation.
108 + -108 + -1t = -34 + -108

Combine like terms: 108 + -108 = 0
0 + -1t = -34 + -108
-1t = -34 + -108

Combine like terms: -34 + -108 = -142
-1t = -142

Divide each side by '-1'.
t = 142

Simplifying
t = 142