x-2(x-4)=42

Solution for x-2(x-4)=42 equation:

Simplifying
x + -2(x + -4) = 42

Reorder the terms:
x + -2(-4 + x) = 42
x + (-4 * -2 + x * -2) = 42
x + (8 + -2x) = 42

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

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

Solving
8 + -1x = 42

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 42 + -8

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

Combine like terms: 42 + -8 = 34
-1x = 34

Divide each side by '-1'.
x = -34

Simplifying
x = -34