The expression we have to solve is:
![-(6)/(8)x=3](https://img.qammunity.org/2023/formulas/mathematics/college/d8afc7jyj3218hqiy7kwn8z7ds1kkmb6re.png)
Step 1. Multiply both sides by -8/6 to eliminate the 6 and the 8 on the left side:
![(-(8)/(6))(-(6)/(8))x=(-(8)/(6))(3)](https://img.qammunity.org/2023/formulas/mathematics/college/n23wypqxstqxng1uvwazuwzsjex04a5cp7.png)
Step 2. Simplify.
On the left side the 8s and the 6s cancell each other. Also since we have two negative numbers, the result will be possitive x.
![x=(-(8)/(6))(3)](https://img.qammunity.org/2023/formulas/mathematics/college/71nswiy1btoz4smwad5p2eavbb35y6612n.png)
Step 3. Multiply the numbers on the right side
![\begin{gathered} x=-(8*3)/(6) \\ x=-(24)/(6) \\ \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/k603cp38g78xpadqy95k76xuo8a3ms7xlm.png)
Step 4. Divide 24 by 6
![x=-4](https://img.qammunity.org/2023/formulas/mathematics/high-school/wcn1xvhdqswk4z8d45ock4ayhxlpyrm9zt.png)
Answer: x=-4