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

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

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

Reorder the terms:
2 + 6(-4 + t) = 4(t + 6) + 8
2 + (-4 * 6 + t * 6) = 4(t + 6) + 8
2 + (-24 + 6t) = 4(t + 6) + 8

Combine like terms: 2 + -24 = -22
-22 + 6t = 4(t + 6) + 8

Reorder the terms:
-22 + 6t = 4(6 + t) + 8
-22 + 6t = (6 * 4 + t * 4) + 8
-22 + 6t = (24 + 4t) + 8

Reorder the terms:
-22 + 6t = 24 + 8 + 4t

Combine like terms: 24 + 8 = 32
-22 + 6t = 32 + 4t

Solving
-22 + 6t = 32 + 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.
-22 + 6t + -4t = 32 + 4t + -4t

Combine like terms: 6t + -4t = 2t
-22 + 2t = 32 + 4t + -4t

Combine like terms: 4t + -4t = 0
-22 + 2t = 32 + 0
-22 + 2t = 32

Add '22' to each side of the equation.
-22 + 22 + 2t = 32 + 22

Combine like terms: -22 + 22 = 0
0 + 2t = 32 + 22
2t = 32 + 22

Combine like terms: 32 + 22 = 54
2t = 54

Divide each side by '2'.
t = 27

Simplifying
t = 27