<p><span style="color:#27ae60;"><span style="font-size:20px;">Solving The Problem</span></span></p>
<p>We can begin by expanding out the equation. This might help us to cancel some common terms to make it easier for us to solve:</p>
<ul>
<li>$(2x+1)(x-5)=2(x^2-1)$</li>
<li>$2x(x) + 2x(-5) + 1(x) + 1(-5) = 2(x^2) - 2$</li>
<li>$2(x^2)-10x+x-5=2(x^2)-2$</li>
<li>$2(x^2)-9x-5=2(x^2)-2$</li>
</ul>
<p>Now the $2(x^2)$ nicely cancels out on both sides, making it much easier to solve:</p>
<ul>
<li>$2(x^2)-9x-5=2(x^2)-2$</li>
<li>$-9x-5=-2$</li>
<li>$-9x=3$</li>
<li>$x=\frac{3}{-9}$</li>
<li>$x =-\frac{1}{3}$</li>
</ul>
<p>So, the answer would be <span style="color:#27ae60;">A</span>.</p>