Question

solve 5/8x+1/16x=7/16. (I got x=-7/5)

Answer 1

Start by finding a common denominator. In this case, 16 seems to be the easiest.
\[(10/16)x + (1/16)x = (7/16)\]
Now add common terms, so all the terms with x's.
\[(11/16)x = (7/16)\]
Now to solve for x, multiply (7/16) by (16/11). This results in:
\[x = (7/11)\]

Now to double check, plug x = 7/11 into the original problem, and it does work out.