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
[tex]\begin{gathered} 6x-15+15\ge33+15 \\ 6x\ge48 \end{gathered}[/tex]Then you have to divide both sides by 6 to determine the value of x:
[tex]\begin{gathered} \frac{6x}{6}\ge\frac{48}{6} \\ x\ge8 \end{gathered}[/tex]