8x-1=x+6

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

Simplifying
8x + -1 = x + 6

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

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

Solving
-1 + 8x = 6 + x

Solving for variable 'x'.

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

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

Combine like terms: 8x + -1x = 7x
-1 + 7x = 6 + x + -1x

Combine like terms: x + -1x = 0
-1 + 7x = 6 + 0
-1 + 7x = 6

Add '1' to each side of the equation.
-1 + 1 + 7x = 6 + 1

Combine like terms: -1 + 1 = 0
0 + 7x = 6 + 1
7x = 6 + 1

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

Divide each side by '7'.
x = 1

Simplifying
x = 1