Question

solve( X+6)/(X+5)-(2x-1)/(x-4)+(X+4)/(x-2)=0 in detail​

Answer 1

Answer:

x=−2

Step-by-step explanation:

x+6 x+5−(2x−1x−4)+x+4x−2=0

x+6x+5+−2x+1x−4+x+4x−2=0

Multiply all terms by (x+5)(x-4)(x-2) and cancel:

(x+6)(x−4)(x−2)+(−2x+1)(x+5)(x−2)+(x+4)(x+5)(x−4)=0(x+5)(x−4)(x−2)

−21x−42=0(Simplify both sides of the equation)

−21x−42+42=0+42(Add 42 to both sides)

−21x=42

−21x

−21

=

42

−21

(Divide both sides by -21)

x=−2

Check answers. (Plug them in to make sure they work.)

x=−2(Works in original equation)

Answer:

x=−2

Hope this helps