2(t-4)+4(t-4)=5

Solution for 2(t-4)+4(t-4)=5 equation:

Simplifying
2(t + -4) + 4(t + -4) = 5

Reorder the terms:
2(-4 + t) + 4(t + -4) = 5
(-4 * 2 + t * 2) + 4(t + -4) = 5
(-8 + 2t) + 4(t + -4) = 5

Reorder the terms:
-8 + 2t + 4(-4 + t) = 5
-8 + 2t + (-4 * 4 + t * 4) = 5
-8 + 2t + (-16 + 4t) = 5

Reorder the terms:
-8 + -16 + 2t + 4t = 5

Combine like terms: -8 + -16 = -24
-24 + 2t + 4t = 5

Combine like terms: 2t + 4t = 6t
-24 + 6t = 5

Solving
-24 + 6t = 5

Solving for variable 't'.

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

Add '24' to each side of the equation.
-24 + 24 + 6t = 5 + 24

Combine like terms: -24 + 24 = 0
0 + 6t = 5 + 24
6t = 5 + 24

Combine like terms: 5 + 24 = 29
6t = 29

Divide each side by '6'.
t = 4.833333333

Simplifying
t = 4.833333333