Answer:
[tex]x=-6[/tex]
Step-by-step explanation:
We begin with the equation: [tex]2(x-3)=2(2x+3)[/tex]
Our first course of actions is to distribute into the parenthesis. This gives us
[tex]2(x-3)=2(2x+3)\\\\2x-6=4x+6[/tex]
Next, we need to get the x's to one side. To do this, subtract 2x from each side
[tex]2x-6=4x+6\\\\-6=2x+6[/tex]
Now we can subtract six from each side to get the 2x alone
[tex]-6=2x+6\\\\2x=-12[/tex]
Lastly, we can divide each side by 2 to get the x alone
[tex]2x=-12\\\\x=-6[/tex]
