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Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number.

Question

Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number.

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Solution 1

Let's denote the number we're looking for as x.

According to the problem, "when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number." This can be translated into the following equation:

7x - 15 = 2x + 10

To solve for x, we first need to get all terms involving x on one side of the equation and the constants on the other side. We can do this by subtracting 2x from both sides and adding 15 to both sides:

7x - 2x = 10 + 15

This simplifies to:

5x = 25

Finally, we can solve for x by dividing both sides of the equation by 5:

x = 25 / 5

So, x = 5.

This problem has been solved

Solution 2

Let's denote the number we're looking for as x.

According to the problem, "when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number." This can be translated into the following equation:

7x - 15 = 2x + 10

To solve for x, we first need to get all terms involving x on one side of the equation and the constants on the other side. We can do this by subtracting 2x from both sides and adding 15 to both sides:

7x - 2x = 10 + 15

This simplifies to:

5x = 25

Finally, we can solve for x by dividing both sides of the equation by 5:

x = 25 / 5

So, x = 5. This is the number we're looking for.

This problem has been solved

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