42=8t+4(t+5)

Solution for 42=8t+4(t+5) equation:

Simplifying
42 = 8t + 4(t + 5)

Reorder the terms:
42 = 8t + 4(5 + t)
42 = 8t + (5 * 4 + t * 4)
42 = 8t + (20 + 4t)

Reorder the terms:
42 = 20 + 8t + 4t

Combine like terms: 8t + 4t = 12t
42 = 20 + 12t

Solving
42 = 20 + 12t

Solving for variable 't'.

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

Add '-12t' to each side of the equation.
42 + -12t = 20 + 12t + -12t

Combine like terms: 12t + -12t = 0
42 + -12t = 20 + 0
42 + -12t = 20

Add '-42' to each side of the equation.
42 + -42 + -12t = 20 + -42

Combine like terms: 42 + -42 = 0
0 + -12t = 20 + -42
-12t = 20 + -42

Combine like terms: 20 + -42 = -22
-12t = -22

Divide each side by '-12'.
t = 1.833333333

Simplifying
t = 1.833333333