Question 87146
What you have done is correct so now you need to follow the diections in the problem which say -"...the result is 7" So...
{{{(x+4)/((x+1)-3) = 7}}} Simplify.
{{{(x+4)/(x-2) = 7}}} Multiply both sides by (x-2)
{{{x+4 = 7x-14}}} Subtract x from both sides.
{{{4 = 6x-14}}} Add 14 to both sides.
{{{18 =6x}}} Finally, divide both sides by 6.
{{{3 = x}}}
The original fraction is:
{{{x/(x+1) = 3/4}}}