Given: The given equation below
[tex]\sqrt[3]{2x}-10=-3[/tex]To Determine: The value of x
First, collect like terms
[tex]\begin{gathered} \sqrt[3]{2x}-10=-3 \\ \sqrt[3]{2x}=-3+10 \\ \sqrt[3]{2x}=7 \end{gathered}[/tex]Take cube of both sides
[tex]\begin{gathered} (\sqrt[3]{2x})^3=7^3 \\ 2x=343 \\ \text{Divide both sides ny 2} \\ \frac{2x}{2}=\frac{343}{2} \\ x=171\frac{1}{2} \end{gathered}[/tex]Hence, x = 171 1/2, or 171.5
