How do you solve #\frac { 15} { x } - 4= \frac { 6} { x } + 3#?

1 Answer
Alan P.
Nov 14, 2016

#color(green)(x=1 2/7)#

Explanation:

Given
#color(white)("XXX")15/x-4=6/x+3#

Multiply everything on both sides by #x#
#color(white)("XXX")15-4x=6+3x#

Add #4x# to both sides
#color(white)("XXX")15=6+7x#

Subtract #6# from both sides
#color(white)("XXX")9=7x#

Divide both sides by #7#
#color(white)("XXX")9/7=x rarr r=9/1=1 2/7#

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