4x-2(4x-3)=42

Solution for 4x-2(4x-3)=42 equation:

Simplifying
4x + -2(4x + -3) = 42

Reorder the terms:
4x + -2(-3 + 4x) = 42
4x + (-3 * -2 + 4x * -2) = 42
4x + (6 + -8x) = 42

Reorder the terms:
6 + 4x + -8x = 42

Combine like terms: 4x + -8x = -4x
6 + -4x = 42

Solving
6 + -4x = 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 + -4x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 42 + -6
-4x = 42 + -6

Combine like terms: 42 + -6 = 36
-4x = 36

Divide each side by '-4'.
x = -9

Simplifying
x = -9