6x-6=27x+1

Solution for 6x-6=27x+1 equation:

Simplifying
6x + -6 = 27x + 1

Reorder the terms:
-6 + 6x = 27x + 1

Reorder the terms:
-6 + 6x = 1 + 27x

Solving
-6 + 6x = 1 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
-6 + 6x + -27x = 1 + 27x + -27x

Combine like terms: 6x + -27x = -21x
-6 + -21x = 1 + 27x + -27x

Combine like terms: 27x + -27x = 0
-6 + -21x = 1 + 0
-6 + -21x = 1

Add '6' to each side of the equation.
-6 + 6 + -21x = 1 + 6

Combine like terms: -6 + 6 = 0
0 + -21x = 1 + 6
-21x = 1 + 6

Combine like terms: 1 + 6 = 7
-21x = 7

Divide each side by '-21'.
x = -0.3333333333

Simplifying
x = -0.3333333333