8x-6=36x+1

Solution for 8x-6=36x+1 equation:

Simplifying
8x + -6 = 36x + 1

Reorder the terms:
-6 + 8x = 36x + 1

Reorder the terms:
-6 + 8x = 1 + 36x

Solving
-6 + 8x = 1 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
-6 + 8x + -36x = 1 + 36x + -36x

Combine like terms: 8x + -36x = -28x
-6 + -28x = 1 + 36x + -36x

Combine like terms: 36x + -36x = 0
-6 + -28x = 1 + 0
-6 + -28x = 1

Add '6' to each side of the equation.
-6 + 6 + -28x = 1 + 6

Combine like terms: -6 + 6 = 0
0 + -28x = 1 + 6
-28x = 1 + 6

Combine like terms: 1 + 6 = 7
-28x = 7

Divide each side by '-28'.
x = -0.25

Simplifying
x = -0.25