8x-1=(-x)+1

Solution for 8x-1=(-x)+1 equation:

Simplifying
8x + -1 = (-1x) + 1

Reorder the terms:
-1 + 8x = (-1x) + 1

Reorder the terms:
-1 + 8x = 1 + (-1x)

Solving
-1 + 8x = 1 + (-1x)

Solving for variable 'x'.

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

Add '(x)' to each side of the equation.
-1 + 8x + (x) = 1 + (-1x) + (x)
-1 + 8x + x = 1 + (-1x) + (x)

Combine like terms: 8x + x = 9x
-1 + 9x = 1 + (-1x) + (x)
-1 + 9x = 1 + (-1x) + x

Combine like terms: (-1x) + x = 0
-1 + 9x = 1 + 0
-1 + 9x = 1

Add '1' to each side of the equation.
-1 + 1 + 9x = 1 + 1

Combine like terms: -1 + 1 = 0
0 + 9x = 1 + 1
9x = 1 + 1

Combine like terms: 1 + 1 = 2
9x = 2

Divide each side by '9'.
x = 0.2222222222

Simplifying
x = 0.2222222222