To solve for x in the given equation;
![5x+7=3x-9](https://img.qammunity.org/2023/formulas/mathematics/college/jukklveqhaskcpjw0zkao6gdc6fu64d8ye.png)
We start by collecting like terms, as follows;
![5x-3x=-9-7](https://img.qammunity.org/2023/formulas/mathematics/college/oebzyuv82itgcbigjqbei777v7fpws10x9.png)
When a number crosses the sign of equality, the sign in front of it switches. Positive numbers becomes negative, and vice versa.
We would now have;
![\begin{gathered} 5x-3x=-9-7 \\ 2x=-16 \\ \text{Divide both sides by 2;} \\ (2x)/(2)=(-16)/(2) \\ x=-8 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/3fhbm6p09p19vskft1nf1fmgw7xr3pqslu.png)
ANSWER:
The answer is x = -8