Let's solve your equation step-by-step.<span><span><span>−31</span>−<span>4x</span></span>=<span><span>−5</span>−<span>5<span>(<span>1+<span>5x</span></span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>−31</span>−<span>4x</span></span>=<span><span>−5</span>−<span>5<span>(<span>1+<span>5x</span></span>)</span></span></span></span><span><span><span><span>−31</span>+</span>−<span>4x</span></span>=<span><span><span>−5</span>+<span><span>(<span>−5</span>)</span><span>(1)</span></span></span>+<span><span>(<span>−5</span>)</span><span>(<span>5x</span>)</span></span></span></span>(Distribute)<span><span><span><span>−31</span>+</span>−<span>4x</span></span>=<span><span><span><span><span>−5</span>+</span>−5</span>+</span>−<span>25x</span></span></span><span><span><span>−<span>4x</span></span>−31</span>=<span><span>(<span>−<span>25x</span></span>)</span>+<span>(<span><span>−5</span>+<span>−5</span></span>)</span></span></span>(Combine Like Terms)<span><span><span>−<span>4x</span></span>−31</span>=<span><span>−<span>25x</span></span>+<span>−10</span></span></span><span><span><span>−<span>4x</span></span>−31</span>=<span><span>−<span>25x</span></span>−10</span></span>Step 2: Add 25x to both sides.<span><span><span><span>−<span>4x</span></span>−31</span>+<span>25x</span></span>=<span><span><span>−<span>25x</span></span>−10</span>+<span>25x</span></span></span><span><span><span>21x</span>−31</span>=<span>−10</span></span>Step 3: Add 31 to both sides.<span><span><span><span>21x</span>−31</span>+31</span>=<span><span>−10</span>+31</span></span><span><span>21x</span>=21</span>Step 4: Divide both sides by 21.<span><span><span>21x</span>21</span>=<span>2121</span></span><span>x=1</span>
