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 = 8x
-6 + 8x = 42 + -1x + x

Combine like terms: -1x + x = 0
-6 + 8x = 42 + 0
-6 + 8x = 42

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

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

Combine like terms: 42 + 6 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6