The expression given is:
![(7)/(5)=(x)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/bonso1pblqtfe2mz1z1kf0qt02albv6aim.png)
And we need to find the value of x.
To solve for x, we need to have the variable x alone on one side of the equation, for this, we multiply both sides of the equation by 3:
![3((7)/(5))=3((x)/(3))](https://img.qammunity.org/2023/formulas/mathematics/college/k4pnvv7k2svor9oicefgdjv3ltloondk54.png)
Solving the left-hand side we have to multiply 3 times 7 and divide that by 5. Since 3*7 is equal to 21:
![(21)/(5)=3((x)/(3))](https://img.qammunity.org/2023/formulas/mathematics/college/ohklng9nqay242jfpa5mf7b0sfhop1f58u.png)
Continuing with the left-hand side, the division of 21/5 is equal to 4.2:
![4.2=3((x)/(3))](https://img.qammunity.org/2023/formulas/mathematics/college/br0sen94cd7uwges2q4besasvj7jg3fz7u.png)
Finally, solving the right-hand side, we note that 3/3 is 1, thus, we will only be left with x:
![4.2=x](https://img.qammunity.org/2023/formulas/mathematics/college/hothksz3sadw9vnta7xdot879vr941nq0u.png)
The value of x is 4.2.
Answer:
x = 4.2