SOLUTION: x/2 + x/5 = 5/4 can I see this problem worked out and then checked?

Question 335223: x/2 + x/5 = 5/4
can I see this problem worked out and then checked?
Found 2 solutions by Fombitz, CharlesG2:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Mutliply both sides by 20 to get rid of fractions.

Take it from there to solve for x.

Answer by CharlesG2(834) (Show Source): You can put this solution on YOUR website!
x/2 + x/5 = 5/4
can I see this problem worked out and then checked?

x/2 + x/5 = 5/4
on left side we need common denominators

5/5 * x/2 + 2/2 * x/5 = 5/4 (we actually multiplying each fraction by one, so no change in values is actually done)

(5x)/10 + (2x)/10 = 5/4
(7x)/10 = 5/4
7x = 5/4 * 10 (multiplied both sides by 10)
7x = 50/4
28x = 50 (multiplied both sides by 4)
x = 50/28 = 25/14 = 1.7857 rounded to 4 places

check: (25/14)/2 + (25/14)/5
25/14 * 1/2 + 25/14 * 1/5 = 25/28 + 25/70 (need common denominators, 28 goes into 140 five times and 70 goes into 140 two times)
25/28 * 5/5 + 25/70 * 2/2 = 125/140 + 50/140 = 175/140
175/140 = 35/28 = 5/4

x = 25/14 = 1.7857 rounded to 4 places is indeed the solution

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