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

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

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

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

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

Combine like terms: 4x + 4x = 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