[tex]\begin{gathered} 8x^2-7=193\rightarrow\text{ Given} \\ 8x^2=193+7\rightarrow\text{add +7 to both sides, to eliminate -7 on the left side} \\ 8x^2=200\rightarrow\text{ Simplify} \\ \frac{\cancel{8}x^2}{\cancel{8}}=\frac{200}{8}\rightarrow\text{ Divide both sides by 8} \\ x^2=25\rightarrow\text{ Simplify} \\ \sqrt[]{x^2}=\sqrt[]{25}\rightarrow\text{ Get the square root of both sides} \\ x=\pm5 \end{gathered}[/tex]
