Answer:
x= -43/2
Explanation:
![(1)/(5)x +(3)/(10) =-4](https://img.qammunity.org/2023/formulas/mathematics/high-school/zoad0dvu98ps59ykw7nrc8z91b244p4ys0.png)
To add or subtract fractions, we need to have the same denominator. We can do that by cross multiplying :
+
for the numerator, and multiply both denominators together to find our common denominator.
![(10x+15)/(50)=-4](https://img.qammunity.org/2023/formulas/mathematics/high-school/ixxke8a4aebtd1yi9xcuh5b40caa11p0uf.png)
Now, cross multiply to solve for x.
![10x+15=-200](https://img.qammunity.org/2023/formulas/mathematics/high-school/f5tz6kj0e1lmiuk0a88krrc66k4ddc0f07.png)
![10x=-215](https://img.qammunity.org/2023/formulas/mathematics/high-school/t1rjd2lvhfq5ajdkdi2tyfnfkdy2kqtosz.png)
![x=-\frac{43}2}](https://img.qammunity.org/2023/formulas/mathematics/high-school/1iq6khzwpnd9cjdp0tv1gb5ehcc1pck7rf.png)