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Question

The value of x satisfying x47x+45=x+37 is ______.

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Solution

Given,
x47x+45=x+37

5(x4)7(x+4)7×5=x+37

5x207x28=x+37(7×5)

2x48=5(x+3)

2x48=5x+15

4815=5x+2x ....[Transposing x terms to one side]

7x=63

x=637=9.

Hence, the correct answer is 9.

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