8x-(2x+6)=42

Solution for 8x-(2x+6)=42 equation:

Simplifying
8x + -1(2x + 6) = 42

Reorder the terms:
8x + -1(6 + 2x) = 42
8x + (6 * -1 + 2x * -1) = 42
8x + (-6 + -2x) = 42

Reorder the terms:
-6 + 8x + -2x = 42

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

Solving
-6 + 6x = 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 + 6x = 42 + 6

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

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

Divide each side by '6'.
x = 8

Simplifying
x = 8