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Find the missing number so that the equation has infinitely many solutions.2x+=2x–12

Question

Find the missing number so that the equation has infinitely many solutions.2x+=2x–12

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Solution

The equation you provided is: 2x + _ = 2x - 12

For an equation to have infinitely many solutions, both sides of the equation must be identical. This means that whatever we add to 2x on the left side must also result in 2x - 12 on the right side.

Since adding any number to 2x would change the value, the only way for the equation to hold true is if we subtract the same amount on the left side that we're subtracting on the right side.

So, the missing number is -12. The equation then becomes: 2x - 12 = 2x - 12, which is true for all values of x, hence the equation has infinitely many solutions.

This problem has been solved

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