Let's solve your equation step-by-step.<span><span>100−<span>6x</span></span>=<span>160−<span>10x</span></span></span>Step 1: Simplify both sides of the equation.<span><span>100−<span>6x</span></span>=<span>160−<span>10x</span></span></span><span>Simplify: (Show steps)</span><span><span><span>−<span>6x</span></span>+100</span>=<span><span>−<span>10x</span></span>+160</span></span>Step 2: Add 10x to both sides.<span><span><span><span>−<span>6x</span></span>+100</span>+<span>10x</span></span>=<span><span><span>−<span>10x</span></span>+160</span>+<span>10x</span></span></span><span><span><span>4x</span>+100</span>=160</span>Step 3: Subtract 100 from both sides.<span><span><span><span>4x</span>+100</span>−100</span>=<span>160−100</span></span><span><span>4x</span>=60</span>Step 4: Divide both sides by 4.<span><span><span>4x</span>4</span>=<span>604</span></span><span>x=15</span>Answer:<span>x=<span>15
