8x-(x-42)=2x-(x+x)

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

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

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

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

Combine like terms: 8x + -1x = 7x
42 + 7x = 2x + -1(x + x)

Combine like terms: x + x = 2x
42 + 7x = 2x + -1(2x)

Remove parenthesis around (2x)
42 + 7x = 2x + -1 * 2x

Multiply -1 * 2
42 + 7x = 2x + -2x

Combine like terms: 2x + -2x = 0
42 + 7x = 0

Solving
42 + 7x = 0

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + 7x = 0 + -42

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

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

Divide each side by '7'.
x = -6

Simplifying
x = -6