5t-6=42-t

Solution for 5t-6=42-t equation:

Simplifying
5t + -6 = 42 + -1t

Reorder the terms:
-6 + 5t = 42 + -1t

Solving
-6 + 5t = 42 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
-6 + 5t + t = 42 + -1t + t

Combine like terms: 5t + t = 6t
-6 + 6t = 42 + -1t + t

Combine like terms: -1t + t = 0
-6 + 6t = 42 + 0
-6 + 6t = 42

Add '6' to each side of the equation.
-6 + 6 + 6t = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 6t = 42 + 6
6t = 42 + 6

Combine like terms: 42 + 6 = 48
6t = 48

Divide each side by '6'.
t = 8

Simplifying
t = 8