2(2x+3)=x+6

Solution for 2(2x+3)=x+6 equation:

Simplifying
2(2x + 3) = x + 6

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

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

Add '-6' to each side of the equation.
6 + -6 + 4x = 6 + -6 + x

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

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

Solving
4x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4x + -1x = x + -1x

Combine like terms: 4x + -1x = 3x
3x = x + -1x

Combine like terms: x + -1x = 0
3x = 0

Divide each side by '3'.
x = 0

Simplifying
x = 0