I am doing some very basic algebra work, and one of the examples has the question and how to solve for $x$. The answer looks like $$1.87=\frac{x}{0.80-x}$$ multiply both sides by $0.80-x$ simplified $$1.87(0.80-x)=x$$ which expanded looks like $$1.496-1.87x=x$$ subtract $1.496$ from both sides
$$-1.87x=x-1.496$$ subtract $x$ from both sides $$-1.87x-x=x-1.496-x$$ simplified $$-2.87x=-1.496$$ solved $$\frac{-2.87x}{-2.87} =\frac{-1.496}{-2.87}$$ $$x=0.52125$$
I can follow all of this and understand the steps, but where I am getting lost is when $-1.87x$ becomes $-2.87x$. Why does this happen? Would subtracting an $x$ just create $-1.87$?
$$-1.87-1=-2.87$$
If it helps
$$-1.87-1=-(1.87+1)=-2.87$$