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

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

Simplifying
8(t + 2) + -1(t + -4) = 6(t + -7) + 8

Reorder the terms:
8(2 + t) + -1(t + -4) = 6(t + -7) + 8
(2 * 8 + t * 8) + -1(t + -4) = 6(t + -7) + 8
(16 + 8t) + -1(t + -4) = 6(t + -7) + 8

Reorder the terms:
16 + 8t + -1(-4 + t) = 6(t + -7) + 8
16 + 8t + (-4 * -1 + t * -1) = 6(t + -7) + 8
16 + 8t + (4 + -1t) = 6(t + -7) + 8

Reorder the terms:
16 + 4 + 8t + -1t = 6(t + -7) + 8

Combine like terms: 16 + 4 = 20
20 + 8t + -1t = 6(t + -7) + 8

Combine like terms: 8t + -1t = 7t
20 + 7t = 6(t + -7) + 8

Reorder the terms:
20 + 7t = 6(-7 + t) + 8
20 + 7t = (-7 * 6 + t * 6) + 8
20 + 7t = (-42 + 6t) + 8

Reorder the terms:
20 + 7t = -42 + 8 + 6t

Combine like terms: -42 + 8 = -34
20 + 7t = -34 + 6t

Solving
20 + 7t = -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.
20 + 7t + -6t = -34 + 6t + -6t

Combine like terms: 7t + -6t = 1t
20 + 1t = -34 + 6t + -6t

Combine like terms: 6t + -6t = 0
20 + 1t = -34 + 0
20 + 1t = -34

Add '-20' to each side of the equation.
20 + -20 + 1t = -34 + -20

Combine like terms: 20 + -20 = 0
0 + 1t = -34 + -20
1t = -34 + -20

Combine like terms: -34 + -20 = -54
1t = -54

Divide each side by '1'.
t = -54

Simplifying
t = -54