You can
put this solution on YOUR website!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.
