It's going to take some time to reach that goal, so look at it from a long-term goal.
I would not cut down carbs that much if you are actually trying to gain muscle...at least personally I wouldn't do it. Like Wilson6 stated, it all depends on how you want to go about all this. For me, when trying to gain extra muscle size, I like to consistently bump my calories as needed through the year. I wouldn't go from say 3,000 to 7,000 right off the bat (i'm exaggerating here, but making a point). I like to always have 'tricks in the bag' to pull out when I get to a sticking point. From a caloric standpoint, i'd bump it a few hundred calories every few months or so. How you do that will probably come down to your carbs and proteins. I like to keep my fats constant.
There are so many ways to do this.
Let's say I am at 1.0-1.3g per pound of LBM, I would ride that until I hit a sticking point, then bump it up 0.1g, then ride that out. I would keep doing this until I get around 1.5g/pound of LBM. I would slowly bump carbs up before pushing more protein at this point....for me. After you do that, then you can come back and start increasing protein again.
For carbs, lets say I am at 150g/d (just using as an arbitrary example). If I hit a sticking point, i'll increase it 25-50 grams on training days probably. Then eventually every day. Then, like protein, i'd bump it another 25-50 grams, etc, etc. as time goes on.
I like my carbs to be moderate-high when gaining size, and protein right around 1.5'ish g/LBM or BW.
The problem with going from 1g/pound of LBM (or weight if you want to use that) to 2g, is that it can muck up digestion if you are not used to eating that much, especially as calories continue to go higher and higher. That's why I like to bring it up a little slower and feel it out, and I rely a little more on carbs. I do good with that personally.
For leaning down, I keep my protein constant right at 1.5g/LBM or in weight.
That said, for me, staying consistent on eating and training is what gets me to my goals. Breaking strength barriers and getting progressively stronger on my movements throughout the year. Once you sort of max out your diet (you can only eat so much until you have to start eating a lot more junk food), the training is what makes the difference for me, long-term.
That's kind of how I go about it, but i've tried many ways that work. For me in importance: total calories > Macros>