Let's solve your equation step-by-step.<span><span><span><span>−2</span>+<span>5x</span></span>−7</span>=<span><span><span>3x</span>−9</span>+<span>2x</span></span></span> Step 1: Simplify both sides of the equation.<span><span><span><span>−2</span>+<span>5x</span></span>−7</span>=<span><span><span>3x</span>−9</span>+<span>2x</span></span></span><span> Simplify: </span><span><span><span>5x</span>−9</span>=<span><span>5x</span>−9</span></span> Step 2: Subtract 5x from both sides.<span><span><span><span>5x</span>−9</span>−<span>5x</span></span>=<span><span><span>5x</span>−9</span>−<span>5x</span></span></span><span><span>−9</span>=<span>−9</span></span> Step 3: Add 9 to both sides.<span><span><span>−9</span>+9</span>=<span><span>−9</span>+9</span></span><span>0=0</span>Answer:<span>All real numbers are solutions.</span>