Let's solve your equation step-by-step.<span><span><span>4x</span>+1</span>=<span><span>5x</span>−2 </span></span>Step 1: Subtract 5x from both sides.<span><span><span><span>4x</span>+1</span>−<span>5x</span></span>=<span><span><span>5x</span>−2</span>−<span>5x</span></span></span><span><span><span>−x</span>+1</span>=<span>−2 </span></span>Step 2: Subtract 1 from both sides.<span><span><span><span>−x</span>+1</span>−1</span>=<span><span>−2</span>−1</span></span><span><span>−x</span>=<span>−3 </span></span>Step 3: Divide both sides by -1.<span><span><span>−x</span><span>−1</span></span>=<span><span>−3</span><span>−1</span></span></span><span>x=3 </span><u>Answer:</u><span>x=<span>3</span></span>