How do you solve #x/5 = (x+3)/8#?

1 Answer
Sep 28, 2015

Answer:

#x = 5#

Explanation:

The first step in solving this problem is called cross-multiplying; we multiply the numerator of the first fraction by the denominator of the second, and the numerator of the second by the denominator of the first. In this case, we multiply #x# with #8#, and #5# with #x+3#:

#5(x+3) = 8*x# (cross-multiplying)
#5x+15 = 8x# (distributing the #5#, simplifying #8*x#)
#15 = 3x# (subtracting #5x# from both sides)
#5 = x# (dividing by #3# to find #x#)

And there we go - our answer is #x = 5#.