Question

solve 4/(x+2)=3/(x+1)

Answer 1

Make both fractions have a common denominator of (x+2)(x+1).....

4(x+1)/(x^2+2x+2)=3(x+2)/(x^2+2x+2)  multiply both sides by x^2+2x+2

4(x+1)=3(x+2)  expand each side...

4x+4=3x+6  subtract 4 from both sides

4x=3x+2  subtract 3x from both sides

x=2

Answer 2

     First, you h ave to cross multiply
       4(x+1)=3(x+2)     
     Next, you expand the equation.
       4x+4=3x+6 
     Then you subtract 4 from both sides.
        4x=3x+6−4 
     After that, you Simplify 3x+6-43x+6−4 to 3x+23x+2
       4x=3x+2 
     Next, Subtract 3x3x from both sides
       4x−3x=2 
     The last step, you Simplify 4x-3x4x−3x to x
       x=2  
    You can also check your answer to see if it is correct.
1)       4/x+2=3/x+1

2)     Let x=2  
  4/2+2=3/2+1

3)     Simplify 2+22+2 to 44    
 4/4=3/2+1

4)     Simplify 2+12+1 to 33
     4/4=3/3

5)     Cancel 4
    1=3/3

6)     Cancel 3   
   1=1

And now you know your answer is correct.