6+6(t-5)=4(t+8)+8

Solution for 6+6(t-5)=4(t+8)+8 equation:

Simplifying
6 + 6(t + -5) = 4(t + 8) + 8

Reorder the terms:
6 + 6(-5 + t) = 4(t + 8) + 8
6 + (-5 * 6 + t * 6) = 4(t + 8) + 8
6 + (-30 + 6t) = 4(t + 8) + 8

Combine like terms: 6 + -30 = -24
-24 + 6t = 4(t + 8) + 8

Reorder the terms:
-24 + 6t = 4(8 + t) + 8
-24 + 6t = (8 * 4 + t * 4) + 8
-24 + 6t = (32 + 4t) + 8

Reorder the terms:
-24 + 6t = 32 + 8 + 4t

Combine like terms: 32 + 8 = 40
-24 + 6t = 40 + 4t

Solving
-24 + 6t = 40 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
-24 + 6t + -4t = 40 + 4t + -4t

Combine like terms: 6t + -4t = 2t
-24 + 2t = 40 + 4t + -4t

Combine like terms: 4t + -4t = 0
-24 + 2t = 40 + 0
-24 + 2t = 40

Add '24' to each side of the equation.
-24 + 24 + 2t = 40 + 24

Combine like terms: -24 + 24 = 0
0 + 2t = 40 + 24
2t = 40 + 24

Combine like terms: 40 + 24 = 64
2t = 64

Divide each side by '2'.
t = 32

Simplifying
t = 32