2(2x+3)=x-3

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

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

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

Reorder the terms:
6 + 4x = -3 + x

Solving
6 + 4x = -3 + 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.
6 + 4x + -1x = -3 + x + -1x

Combine like terms: 4x + -1x = 3x
6 + 3x = -3 + x + -1x

Combine like terms: x + -1x = 0
6 + 3x = -3 + 0
6 + 3x = -3

Add '-6' to each side of the equation.
6 + -6 + 3x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = -3 + -6
3x = -3 + -6

Combine like terms: -3 + -6 = -9
3x = -9

Divide each side by '3'.
x = -3

Simplifying
x = -3