To determine the possible values of x you have to isolate the x-term in one side of the inequality and the numbers on the other side.
The first step is to pass "-15" to the right side of the expression by applying the opposite operation to both sides of it, i.e. you have to add 15
![\begin{gathered} 6x-15+15\ge33+15 \\ 6x\ge48 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/yi9wiyepz52j255879dykgb9c475qk41v3.png)
Then you have to divide both sides by 6 to determine the value of x:
![\begin{gathered} (6x)/(6)\ge(48)/(6) \\ x\ge8 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/r5ut4ia43fs7vmts0uttpc1ka0kjxrlep0.png)