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when 5 is subtracted from a certain number and the result multiplied by 3 the result is the same as when 3 is added to twice th...Question
When 3 is subtracted from a certain number and the result multiple by 5 the result is the same as when 3 is added to twice the number find the number
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GPT 3.5
Let's use algebra to solve the problem.
Let the number be represented by "x".
According to the problem, when 3 is subtracted from the number and the result is multiplied by 5, we have:
5(x - 3)
And, when 3 is added to twice the number, we have:
2x + 3
We can set up an equation using these two expressions:
5(x - 3) = 2x + 3
Now, let's solve for x.
Expanding the left side of the equation:
5x - 15 = 2x + 3
Bringing the x terms to one side of the equation and the constant terms to the other side:
5x - 2x = 3 + 15
3x = 18
Dividing both sides of the equation by 3:
x = 6
Therefore, the number is 6.
Let the number be represented by "x".
According to the problem, when 3 is subtracted from the number and the result is multiplied by 5, we have:
5(x - 3)
And, when 3 is added to twice the number, we have:
2x + 3
We can set up an equation using these two expressions:
5(x - 3) = 2x + 3
Now, let's solve for x.
Expanding the left side of the equation:
5x - 15 = 2x + 3
Bringing the x terms to one side of the equation and the constant terms to the other side:
5x - 2x = 3 + 15
3x = 18
Dividing both sides of the equation by 3:
x = 6
Therefore, the number is 6.
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