The equation to be solved is given to be:
![6x=(3)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/giqomn9q3j75anl574ot2inbab3m5gecjp.png)
To get the value of x in the equation, we just multiply both sides of the equation by 1/6. This is shown below:
![6x*(1)/(6)=(3)/(2)*(1)/(6)](https://img.qammunity.org/2023/formulas/mathematics/college/3kvgecg576yjml5m8ozebhoovk8tlu473r.png)
Hence, we have:
![x=(3)/(12)](https://img.qammunity.org/2023/formulas/mathematics/college/vk1y7nudoso3zdk2g3ciowcqgzdab7scn0.png)
We can further simplify by dividing the numerator and denominator of the right-hand side by 3. Hence, the answer is:
![x=(1)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/rcgnf76psirgpl39paeie4ci2h496uwtsh.png)