x-8+7x+2=42

Solution for x-8+7x+2=42 equation:

Simplifying
x + -8 + 7x + 2 = 42

Reorder the terms:
-8 + 2 + x + 7x = 42

Combine like terms: -8 + 2 = -6
-6 + x + 7x = 42

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

Solving
-6 + 8x = 42

Solving for variable 'x'.

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

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