How do you solve #\frac{x - 3}{3} = \frac{3x + 5}{5}#?

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Answer 1 · 2016-09-17T23:02:48

#x=-15/2#

#frac{x-3}[3}=frac{3x+5}{5}#

Multiply both sides by the common denominator.
The common denominator is the product of the denominators.
#3*5=15# Or, you could cross multiply.

#15*frac{x-3}{3}=15*frac{3x+5}{5}#

#5(x-3)=3(3x+5)##color(white)(aaa)Distribute#

#5x-15=9x+15#
#color(white)(aa)+15color(white)(aaaaa)+15##color(white)(aaaa)#Add 15 to each side.

#color(white)(aa)5x=9x+30#
#-9xcolor(white)(a)-9x#

#-4x=30#

Divide both sides by #-4#
#(-4x)/-4=30/-4#

#x=-15/2#