Let's solve your equation step-by-step.<span><span>−<span>4<span>(<span><span>6x</span>+3</span>)</span></span></span>=<span>−<span>12<span>(<span>x+10</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span>−<span>4<span>(<span><span>6x</span>+3</span>)</span></span></span>=<span>−<span>12<span>(<span>x+10</span>)</span></span></span></span><span><span><span><span>(<span>−4</span>)</span><span>(<span>6x</span>)</span></span>+<span><span>(<span>−4</span>)</span><span>(3)</span></span></span>=<span><span><span>(<span>−12</span>)</span><span>(x)</span></span>+<span><span>(<span>−12</span>)</span><span>(10)</span></span></span></span>(Distribute)<span><span><span><span>−<span>24x</span></span>+</span>−12</span>=<span><span><span>−<span>12x</span></span>+</span>−120</span></span><span><span><span>−<span>24x</span></span>−12</span>=<span><span>−<span>12x</span></span>−120</span></span>Step 2: Add 12x to both sides.<span><span><span><span>−<span>24x</span></span>−12</span>+<span>12x</span></span>=<span><span><span>−<span>12x</span></span>−120</span>+<span>12x</span></span></span><span><span><span>−<span>12x</span></span>−12</span>=<span>−120</span></span>Step 3: Add 12 to both sides.<span><span><span><span>−<span>12x</span></span>−12</span>+12</span>=<span><span>−120</span>+12</span></span><span><span>−<span>12x</span></span>=<span>−108</span></span>Step 4: Divide both sides by -12.<span><span><span><span><span>−<span>12x</span></span><span>−12</span></span></span></span>=<span><span><span><span>−108</span><span>−12</span></span></span></span></span><span>x=9</span>Answer:<span>x=<span>9</span></span>
