Question

Solve for x: 2 over 3 equals 8 over quantity x plus 6

Answer 1

x = 40/3

Explanation:

2/3 = (8/x) + 6

-6 -6

2/3 - 6 = -16/3

-16/3 = 8/x

*x *x

(-16/3)x = 8

+16/3 +16/3

x = 40/3

Answer 2

Answer: x= 6

Explanation:

Given equation :
`(2)/(3)=(8)/((x+6))`

To solve the above equation, first we multiply 3(x+6) on both sides , then we get

`3(x+6)*(2)/(3)=3(x+6)*(8)/((x+6))`

`\Rightarrow\ (x+6)*2=3*8`

Using distribution property :
`(b+c)a=ba+ca`

we get

`\Rightarrow\ (x)(2)+(6)(2)=24`

`\Rightarrow\ 2x+12=24`

Subtract 12 from both sides , we get

`\Rightarrow\ 2x=12`

Divide both sides by 2 , we get

`x=6`

Hence, the value of x= 6 .