Question 284855
Your equation is:


5/(8x) + (3/5) = 8


Easiest thing to do is to get rid of all those denominators.


You can do this in the following way:


Multiply both sides of the equation by (5*8x) to get:


(5*8x) * (5/(8x)) + (5*8x) * (3/5) = (5*(8x)) * 8


Simplify to get:


25 + 24x = 320x


Substract 24x from both sides of this equation to get:


25 = 320x - 24x


Simplify to get:


25 = 296x


Divide both sides by 296 to get:


x = 25/296


Confirm your answer is good by substituting into the original equation to see if the equation is true.


Your original equation is:


5/(8x) + (3/5) = 8


Substitute 25/296 for x to get:


5/(8*25/296) + (3/5) = 8


Simplify to get:


5 / (200/296) + (3/5) = 8


This is equivalent to:


5 * (296/200) + (3/5) = 8


Simplify this to get:


(296/40) + 3/5) = 8


If you divide both numerator and denominator of (296/40) by 8, you will get:


(37/5) + (3/5) = 8 which reduces to:


8 = 8 confirming that x = 25/296 is good.


That's your answer.