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

2 Answers
Jun 6, 2018

The solution is x = -25/12

Explanation:

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

Jun 6, 2018

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