4x+2(2x+3)=46

Solution for 4x+2(2x+3)=46 equation:

Simplifying
4x + 2(2x + 3) = 46

Reorder the terms:
4x + 2(3 + 2x) = 46
4x + (3 * 2 + 2x * 2) = 46
4x + (6 + 4x) = 46

Reorder the terms:
6 + 4x + 4x = 46

Combine like terms: 4x + 4x = 8x
6 + 8x = 46

Solving
6 + 8x = 46

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 = 46 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 46 + -6
8x = 46 + -6

Combine like terms: 46 + -6 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5