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