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What number should go into the blank so that the two expressions are equivalent to each other? (Use only the digits 0 - 9 to write the number.) 10 + 5x = x + x + x + __ - 4 + x + x

1 Answer

4 votes

Given:

The equation is:


10+5x=x+x+x+\_\_\_-4+x+x

To find:

The number for the blank so that the two expressions are equivalent to each other.

Solution:

Let n be the required number for the blank. Then,


10+5x=x+x+x+n-4+x+x

On combining like terms, we get


10+5x=(x+x+x+x+x)+n-4


10+5x=5x+n-4

Subtracting 5x from both sides, we get


10=n-4

Adding 4 on both sides, we get


10+4=n


14=n

Therefore, the required number of the blank is 14.

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