The answer you are looking for is x=3.
Solution/Explanation:
First, writing out the equation,
2x+4+2=7x-6-3.
Next, simplifying the equation just a little bit more, with the four numbers that do not include the variable "x" at all,
2x+6=7x-9.
Now, subtracting 7x from both sides of the equation,
2x+6-7x=7x-9-7x.
Regrouping the positions of the terms, using the Associative Property,
2x-7x+6=7x-7x-9.
Simplifying, and also, canceling out the 7x, since 7x-7x=0.
2x-7x+6=0-9, or 2x-7x+6=-9.
Simplifying "2x-7x," which is -5x,
-5x+6=-9.
Now, subtracting 6 from both sides,
-5x+6-6=-9-6.
Canceling out the "6," since 6-6=0,
-5x=-9-6.
Solving for "-9-6," which is "-15,"
-5x=-15.
Finally, dividing both sides by "-5,"
-5x/-5=-15/-5.
Simplifying "-5x/-5=-15/-5,"
-5x/-5=x.
And, also, -15/-5=3.
This eventually leads to x=3.
So, therefore, the final answer is x=3.
I hope that this has helped answer your question. Good day to you.