What is the solution? #(x+5)/5=1-((x+5)/7)#

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Answer 1 · 2018-06-06T15:55:26

The solution is #x = -25/12#

Given #(x+5)/5=1-((x+5)/7)#

Multiply both sides by 35:

#7(x+5)=35-5(x+5)#

Distribute the 7 and the -5:

#7x+35=35-5x-25#

Add #5x-35# to both sides:

#12x=-25#

#x = -25/12#

Answer 2 · 2018-06-06T15:56:25

#rarr(x+5)/5=1-(x+5)/7#

#rarr(x+5)/5+(x+5)/7=1#

#rarr(x+5)[1/5+1/7]=1#

#rarr(x+5)[12/35]=1#

#rarrx=35/12-5=-25/12#