6t-42=t-6

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

Simplifying
6t + -42 = t + -6

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

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

Solving
-42 + 6t = -6 + t

Solving for variable 't'.

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

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

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

Combine like terms: t + -1t = 0
-42 + 5t = -6 + 0
-42 + 5t = -6

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

Combine like terms: -42 + 42 = 0
0 + 5t = -6 + 42
5t = -6 + 42

Combine like terms: -6 + 42 = 36
5t = 36

Divide each side by '5'.
t = 7.2

Simplifying
t = 7.2