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Answer: no solution

3x - 2 = 3x -5

3x - 3x - 2 = 3x - 3x - 5 (Subtract 3x from each side.)

-2 = -5 Huh??

When you are solving an equation, and the variable disappears, there are two possibilities:

If you are left with a true statement (such as 2 = 2), then the equation is an identity, and any value of x will satisfy the equation. The number of solutions is infinite.

If you are left with a false statement, as in this case, no value of x will satisfy the equation. There is no solution.

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Q: What is 3x-2 equals 3x-5 Solve for X?
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