Answer : The value of 'x' is, 6
Step-by-step explanation :
As we are given the expression or equation in verbal sentence. So, first we have to convert it into equation.
2 over 3 equals 8 over quantity x plus 6
The equation will be:
![(2)/(3)=(8)/(x+6)](https://img.qammunity.org/2020/formulas/mathematics/high-school/nkd8fvdfnbkomtnn5sd5ar0tiikv942u3s.png)
Now solve the equation, we get the value of 'x'.
![(2)/(3)=(8)/(x+6)](https://img.qammunity.org/2020/formulas/mathematics/high-school/nkd8fvdfnbkomtnn5sd5ar0tiikv942u3s.png)
Cross multiplying the equation, we get:
![2* (x+6)=8* 3](https://img.qammunity.org/2020/formulas/mathematics/high-school/uupac6rp6t3664cbm04ihdu6p79tbcs9uc.png)
![2x+12=24](https://img.qammunity.org/2020/formulas/mathematics/high-school/kqwqscis2pnq7cbp5uoq36l5i97ln96qm0.png)
![2x=24-12](https://img.qammunity.org/2020/formulas/mathematics/high-school/ooppgxv162pyzjmiqruu76beg3si9wwdsx.png)
![2x=12](https://img.qammunity.org/2020/formulas/mathematics/middle-school/irzp2l0haqekqzsz4lb8n1sm7b0z8a4lxf.png)
![x=(12)/(2)](https://img.qammunity.org/2020/formulas/mathematics/high-school/j9kmolblb01d8nlcg44iy35sca2jtsgc2q.png)
![x=6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/iytjkob8c453cdntkigo6vyjyk3yzlat9o.png)
Thus, the value of 'x' is, 6