-7x+6=-x+42

Solution for -7x+6=-x+42 equation:

Simplifying
-7x + 6 = -1x + 42

Reorder the terms:
6 + -7x = -1x + 42

Reorder the terms:
6 + -7x = 42 + -1x

Solving
6 + -7x = 42 + -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.
6 + -7x + x = 42 + -1x + x

Combine like terms: -7x + x = -6x
6 + -6x = 42 + -1x + x

Combine like terms: -1x + x = 0
6 + -6x = 42 + 0
6 + -6x = 42

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

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

Combine like terms: 42 + -6 = 36
-6x = 36

Divide each side by '-6'.
x = -6

Simplifying
x = -6