a = x [true for some a's and x's]

a+a = a+x [add a to both sides]

2a = a+x [a+a = 2a]

2a-2x = a+x-2x [subtract 2x from both sides]

2(a-x) = a+x-2x [2a-2x = 2(a-x)]

2(a-x) = a-x [x-2x = -x]

2 = 1 [divide both sides by a-x]

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a = x [true for some a's and x's]

a+a = a+x [add a to both sides]

2a = a+x [a+a = 2a]

2a-2x = a+x-2x [subtract 2x from both sides]

2(a-x) = a+x-2x [2a-2x = 2(a-x)]

2(a-x) = a-x [x-2x = -x]

2 = 1 [divide both sides by a-x]