A retail store ordered some sofas and chairs from a manufacturer. The number of chairs ordered was
four more than the number of sofas. The
received a partial shipment consisting of half of the
sofas and one-third of the chairs that were ordered.
If the total number of pieces was the same as the
number of sofas originally ordered, how many sofas
did the store receive?

I’m not 100% sure as to what you mean by this, but I’ll try to answer this as best as I can.

So, let’s start out with distributive property.

6x-5=5(x-3)+x

6x-5=(x*5)-(5*3)+x

You should have:

6x-5 = 5x-15+x

Next, add your like terms.

6x-5=6x-15

Now, bring your variable over to one side.

6x-5=6x-15

-6x    -6x

-5=-15

Since these aren’t equal to each other, there’s no solution.

Hope this helps!