5/8 x+1/16 x=11/16+x

16*(5/8 x+1/16 x) = 16(11/16+x)
10x + x = 11 + 16x, so the next step is:

11x = 11 + 16x (get x-terms on the left.)

-x = 11 (divide by -1.)
x = 11

Is this correct?

4 answers

plug the value you found for x to determine whether or not this value is correct.

Like so:
5/8(11)+1/16(11)=11/16+ 11

11x = 11 + 16x

here's the next step:
11x-16x = 11

collect like terms and solve for x
here's the next step:
11x-16x = 11 (collect like terms and solve for x.)

-5x = 11

-x = 11

x = 11

Thank you TutorCat, the answer does match.
Please only post your questions once. Repeating posts will not get a quicker response. In addition, it wastes our time looking over reposts that have already been answered in another post. Thank you.

Again, dividing both sides by -5 does not give you

-x = 11
You are correct, 11/5 = 2.2. Do I need to round off for a single integer?