<span>2x-6=2(x-8)+10 -------------------- Simplify </span>2x-6=<span>2(x-8)+<span>10 ----------------------------- Distribute </span></span>2x+-6=<span>(2)(x)+(2)(-8)+<span>10 </span></span>2x+-6=<span>2x+-16+<span>10 </span></span>-------------------------------------- Combine Like-Terms 2x-6=<span>(2x)+<span>(-<span>16+10</span>) </span></span>2x-6=<span>2x+-<span>6 </span></span>------------------------------------------- Subtract 2x on each side <span><span>2x-6-</span>2x</span>=<span><span>2x-6-</span><span>2x </span></span>-6=-<span>6 </span>--------------------------------------------------- Add 6 on each side <span>-6+6</span>=-<span>6+6 </span>0 = 0 ---------------------------------------------------------------- Infinitely Many Solutions