Thank you for the opportunity to help you with your question!

-5/8x+1/4=1/8

-1/4 -1/4 *subtract 1/4 from both sides of equation

-5/8x = 1/8 -1/4 *we need a common denominator, both 8 and 4 go into 8, so let 8 be it.

-5/8x = 1/8 -2/8 *our fraction 1/4 is now 2/8 since 4 goes into 8 twice, we multiply both top & bottom by 2

-5/8x = -1/8 *subtract the two fractions

(-8/5) (-5/8) x = (-8/5) (-1/8) *divide both sides of eqn by -5/8, but remember, dividing by a fraction means multiplying by the reciprocal.

x= 1/5 *everything on the left will then cancel. On the right, the 8's cancel, and the two neg's make a positive, therefore, we multiply straight across.

Hope this helps!!! let me know if you have any further questions, or need help explaining any step here!

Please let me know if you need any clarification. I'm always happy to answer your questions.