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What is the coefficient of x in the equation 5x – 3 = 12?

  1. 15

  2. 9

  3. 8

  4. 5

The correct answer is: 8

In this equation, 5x represents 5 multiplied by x, so in other words, 5 multiplied by some unknown number. Since we are looking for the coefficient of x, we want to find the number that is directly multiplying x, so we can think of it as being in front of x. In this case, the number in front of x is 5. However, we also have a -3 and a = 12 in the equation, so we need to manipulate it to isolate x. To do so, we add 3 to both sides, giving us 5x = 15. Now, we can see that 5 is directly multiplied by x, making it the coefficient. Therefore, the coefficient of x in this equation is 5. None of the other options are correct because they do not represent the number directly multiplied by x in the equation.