Since the variable x is the numerator of the fraction, we first need to multiply each side by 6, since the denominator is 6. After doing this, the equation should now look like this:
. Next, we subtract 31 from 18 following the rule. 18 - 31 = -13. x is equal to -13.
For shown work in order:
![(6) 3 = x +31](https://img.qammunity.org/2023/formulas/mathematics/college/j266hrxcefhek182ydxfz44bv797bo0led.png)
![18 = x + 31](https://img.qammunity.org/2023/formulas/mathematics/college/ktk988jjvplmtrut0r51v3gyvz5yrhg1oy.png)
![18 - 31 = x](https://img.qammunity.org/2023/formulas/mathematics/college/wsqhs99ev6lf2h22do8wudarbivo2qfcho.png)
![x = -13](https://img.qammunity.org/2023/formulas/mathematics/college/17lvx1pk5wxtjz5vmu3jn541ookfan5o8a.png)