x+6=8x-42

Solution for x+6=8x-42 equation:

Simplifying
x + 6 = 8x + -42

Reorder the terms:
6 + x = 8x + -42

Reorder the terms:
6 + x = -42 + 8x

Solving
6 + x = -42 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + x + -8x = -42 + 8x + -8x

Combine like terms: x + -8x = -7x
6 + -7x = -42 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -7x = -42 + 0
6 + -7x = -42

Add '-6' to each side of the equation.
6 + -6 + -7x = -42 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -42 + -6
-7x = -42 + -6

Combine like terms: -42 + -6 = -48
-7x = -48

Divide each side by '-7'.
x = 6.857142857

Simplifying
x = 6.857142857