Question 125879
{{{(x-5)/(x+4)=2/7}}} Start with the given equation



{{{7(x-5)=2(x+4)}}} Cross multiply



{{{7x-35=2x+8}}} Distribute




{{{7x=2x+8+35}}}Add 35 to both sides



{{{7x-2x=8+35}}} Subtract 2x from both sides



{{{5x=8+35}}} Combine like terms on the left side



{{{5x=43}}} Combine like terms on the right side



{{{x=(43)/(5)}}} Divide both sides by 5 to isolate x





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Answer:

So our answer is {{{x=43/5}}}  (which is  {{{x=8.6}}} in decimal form)