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

Combine like terms: 8t + -3t = 5t
4 + 5t = 6(t + -7) + 8

Reorder the terms:
4 + 5t = 6(-7 + t) + 8
4 + 5t = (-7 * 6 + t * 6) + 8
4 + 5t = (-42 + 6t) + 8

Reorder the terms:
4 + 5t = -42 + 8 + 6t

Combine like terms: -42 + 8 = -34
4 + 5t = -34 + 6t

Solving
4 + 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.
4 + 5t + -6t = -34 + 6t + -6t

Combine like terms: 5t + -6t = -1t
4 + -1t = -34 + 6t + -6t

Combine like terms: 6t + -6t = 0
4 + -1t = -34 + 0
4 + -1t = -34

Add '-4' to each side of the equation.
4 + -4 + -1t = -34 + -4

Combine like terms: 4 + -4 = 0
0 + -1t = -34 + -4
-1t = -34 + -4

Combine like terms: -34 + -4 = -38
-1t = -38

Divide each side by '-1'.
t = 38

Simplifying
t = 38