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