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Why is 2+3(x-2) = 5x-10 not true as a rule?

User Ethan
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1 Answer

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Answer: Explain why 2 + 3(x � 2) = 5x � 10 (*) is not true identity.

It is because the left part is

2 + 3x - 6 = 3x - 4,

while the right side is 5x - 10.

The left side expression differs from that of the right side.

Therefore, (*) is not an identity.

We even can go further and write a hypothetical equation

3x - 4 = 5x - 10

which implies

2x = 6 and then x = 3.

So, the two original expressions are equal only at x = 3, but they are not equal identically as functions.

User Cullen
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