We are given:
![-7x=-(3)/(4)x-5](https://img.qammunity.org/2019/formulas/mathematics/middle-school/xb8oxuejt7ozl460zlc12jx6jzedlvnszh.png)
To clean up the equation, let's get rid of that fraction. To do that, multiply both sides by the denominator, which is 4.
![4(-7x)=4(-(3)/(4)x-5)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/x2vtkgceiwst9guh8vwm1ivh1jt4t90kfi.png)
When we do that, our simplified answer is:
![-28x=-3x-20](https://img.qammunity.org/2019/formulas/mathematics/middle-school/e17kq4g1ovii23tfpzwjr2l31a3j0o5u0i.png)
We must isolate x on one side. To do this, add 3x to both sides. This will cancel the -3x on the right. When we do that, we are left with:
![-25x=-20](https://img.qammunity.org/2019/formulas/mathematics/middle-school/mc4t658bsug9edxe7hepdgls4oswl9699d.png)
To remove the coefficient and get x by itself, we need to divide both sides by -25.
![(-25x)/(-25)=(-20)/(-25)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/5mvwqc9h9vbv2c9rm474f0z0sgg9pryba6.png)
When simplified, the answer will be:
![x=(4)/(5)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/hz3ib5nwzde4avxbdarl4keghrljs3qhfu.png)