Step 1: Simplify both sides of the equation.<span><span><span>4<span>(<span>x+8</span>)</span></span>−4</span>=<span>34−<span>2x</span></span></span><span><span><span><span><span><span>(4)</span><span>(x)</span></span>+<span><span>(4)</span><span>(8)</span></span></span>+</span>−4</span>=<span><span>34+</span>−<span>2x</span></span></span>(Distribute)<span><span><span><span><span>4x</span>+32</span>+</span>−4</span>=<span><span>34+</span>−<span>2x</span></span></span><span><span><span>(<span>4x</span>)</span>+<span>(<span>32+<span>−4</span></span>)</span></span>=<span><span>−<span>2x</span></span>+34</span></span>(Combine Like Terms)<span><span><span>4x</span>+28</span>=<span><span>−<span>2x</span></span>+34</span></span><span><span><span>4x</span>+28</span>=<span><span>−<span>2x</span></span>+34</span></span>Step 2: Add 2x to both sides.<span><span><span><span>4x</span>+28</span>+<span>2x</span></span>=<span><span><span>−<span>2x</span></span>+34</span>+<span>2x</span></span></span><span><span><span>6x</span>+28</span>=34</span>Step 3: Subtract 28 from both sides.<span><span><span><span>6x</span>+28</span>−28</span>=<span>34−28</span></span><span><span>6x</span>=6</span>Step 4: Divide both sides by 6.<span><span><span>6x</span>6</span>=<span>66</span></span><span>x=<span>1</span></span>