<span>585=<span>5<span>x3</span></span></span>Step 1: Subtract 5x^3 from both sides.<span><span>585−<span>5<span>x3</span></span></span>=<span><span>5<span>x3</span></span>−<span>5<span>x3</span></span></span></span><span><span><span>−<span>5<span>x3</span></span></span>+585</span>=0</span>Step 2: Subtract 585 from both sides.<span><span><span><span>−<span>5<span>x3</span></span></span>+585</span>−585</span>=<span>0−585</span></span><span><span>−<span>5<span>x3</span></span></span>=<span>−585</span></span>Step 3: Divide both sides by -5.<span><span><span>−<span>5<span>x3</span></span></span><span>−5</span></span>=<span><span>−585</span><span>−5</span></span></span><span><span>x3</span>=117</span>Step 4: Take cube root.<span>x=<span><span>(117)</span><span>(<span>13</span>)</span></span></span><span>x=4.890973</span>Answer:<span>x=4.890973</span> glad to help!