Question

Solve for x: 2 over quantity x plus 2 plus 1 over 5 equals 6 over quantity x plus 5.

x = 0

x = -13

x = 13

x = 0 and x = 13

Answer 1

Answer:since the first person gave me the wrong, here’s the righ (d)

Explanation:

Answer 2

x = 0 and x = 13

Explanation:

• given equation :

`(2)/(x+2)+(1)/(5)=(6)/(x+5)`

• solving left part:

`(12+x)/(5*(x+2)) =(6)/(x+5)`

• multiplying both sides by 5:

`(12+x)/(x+2)=(30)/(x+5)`

• by cross multiplying:

`x^(2) +17x+60=30x+60`

• subtracting both sides by 60:

`x^(2) +17x=30x`

• subtracting both sides by 17x:

`x^(2)=13x`

• taking 13x to the other side:

`x^(2) -13x=0\\x*(x-13)=0`

therefore, solution for x : 0 or 13.