Question 115569
{{{(x+4)/(3x) + (x+8)/(5x) = 2}}} Start with the given expression




Now multiply both sides by the LCD {{{15x}}} to eliminate every fraction


{{{(15x)((x+4)/(3x) + (x+8)/(5x) )=(15x)( 2)}}}



{{{5(x+4)+ 3(x+8)=30x}}} Distribute. Since the fractions are gone, we have to keep in mind that {{{x<>0}}}





{{{5x+20+3x+24=30x}}} Distribute again



{{{8x+44=30x}}} Combine like terms on the left side



{{{8x=30x-44}}}Subtract 44 from both sides



{{{8x-30x=-44}}} Subtract 30x from both sides



{{{-22x=-44}}} Combine like terms on the left side



{{{x=(-44)/(-22)}}} Divide both sides by -22 to isolate x




{{{x=2}}} Divide


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Answer:

So our answer is {{{x=2}}}