Question 173914
Your equation is a bit hard to decipher (you should use parentheses so that we can understand exactly what goes in your numerators and denominators)  but having said that, I think you meant to write {{{(5/8)x+(1/16)x=5/16+x}}}


Either way, with rational expressions, you need to find the Lowest Common Denominator.


You have denominators of 8, 16, and 1 (the 1 is the understood denominator under the x on the right side of the equation)


So, your LCD here is 16


{{{(5/8)(2/2)x+(1/16)x=5/16+x(16/16)}}}


{{{(10/16)x+(1/16)x-(16/16)x=5/16}}}


{{{((10 + 1 - 16)x)/16=5/16}}}


{{{-5x/16=5/16}}}


Now multiply by {{{-16/5}}}:


{{{x=-1}}}