Solve 4 / (x+2) = 3 / (x+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

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+6-4 3x+6-4 to 3x+2 3x + 2

4x=3x+2

Next, Subtract 3x 3x from both sides

4x-3x=2

The last step, you Simplify 4x-3x 4x-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+2 2+2 to 4 4

4/4=3/2+1

4) Simplify 2+1 2+1 to 3 3

4/4=3/3

5) Cancel 4

1=3/3

6) Cancel 3

1=1

And now you know your answer is correct.