Let's solve your equation step-by-step.<span><span><span>4<span>(<span>1−x</span>)</span></span>+<span>2x</span></span>=<span>−<span>3<span>(<span>x+1</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>4<span>(<span>1−x</span>)</span></span>+<span>2x</span></span>=<span>−<span>3<span>(<span>x+1</span>)</span></span></span></span><span>Simplify: (Show steps)</span><span><span><span>−<span>2x</span></span>+4</span>=<span><span>−<span>3x</span></span>−3</span></span>Step 2: Add 3x to both sides.<span><span><span><span>−<span>2x</span></span>+4</span>+<span>3x</span></span>=<span><span><span>−<span>3x</span></span>−3</span>+<span>3x</span></span></span><span><span>x+4</span>=<span>−3</span></span>Step 3: Subtract 4 from both sides.<span><span><span>x+4</span>−4</span>=<span><span>−3</span>−4</span></span><span>x=<span>−7</span></span>Answer:<span>x=<span>−<span>7</span></span></span>