<span><span><span>−<span>4<span>(<span>2+<span>4x</span></span>)</span></span></span>−2</span>=<span><span>−10</span>−<span>8x</span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>−<span>4<span>(<span>2+<span>4x</span></span>)</span></span></span>−2</span>=<span><span>−10</span>−<span>8x</span></span></span>
<span>Simplify: </span>
<span><span><span><span><span><span>(<span>−4</span>)</span><span>(2)</span></span>+<span><span>(<span>−4</span>)</span><span>(<span>4x</span>)</span></span></span>+</span>−2</span>=<span><span><span>−10</span>+</span>−<span>8x</span></span></span>(Distribute)<span><span><span><span><span><span>−8</span>+</span>−<span>16x</span></span>+</span>−2</span>=<span><span><span>−10</span>+</span>−<span>8x</span></span></span><span><span><span>(<span>−<span>16x</span></span>)</span>+<span>(<span><span>−8</span>+<span>−2</span></span>)</span></span>=<span><span>−<span>8x</span></span>−10</span></span>(Combine Like Terms)<span><span><span>−<span>16x</span></span>+<span>−10</span></span>=<span><span>−<span>8x</span></span>−10</span></span>
<span><span><span>−<span>16x</span></span>−10</span>=<span><span>−<span>8x</span></span>−10</span></span>Step 2: Add 8x to both sides.<span><span><span><span>−<span>16x</span></span>−10</span>+<span>8x</span></span>=<span><span><span>−<span>8x</span></span>−10</span>+<span>8x</span></span></span><span><span><span>−<span>8x</span></span>−10</span>=<span>−10</span></span>Step 3: Add 10 to both sides.<span><span><span><span>−<span>8x</span></span>−10</span>+10</span>=<span><span>−10</span>+10</span></span><span><span>−<span>8x</span></span>=0</span>Step 4: Divide both sides by -8.<span><span><span>−<span>8x</span></span><span>−8</span></span>=<span>0<span>−8</span></span></span><span>x=0</span>Answer:<span>x=0</span>
