Question

solve for x: 1÷x+1 + 2÷x+2 = 4÷ x+4 where, x≠ -1, -2, -4​

Answer 1

Answer:

x = 4

Step-by-step explanation:

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

[(x + 2)+2(x + 1)]/( x + 1)( x + 2) = 4/( x + 4)

[x + 2 + 2x + 1]/( x + 1)( x + 2) = 4/( x + 4)

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

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

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

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

3x + 12 = 4x + 8

4x - 3x = 12 - 8

x = 4