Question

Find the value of the variables: 3x - 30 = 5x - 13

A) x = -8
B) x = -7
C) x = -6
D) x = -5

Answer 1

The correct value of x in the equation 3x - 30 = 5x - 13, after isolating x, turns out to be -8.5. Since this result does not match any of the given options, there might be an error in the provided choices. The correct value of x is -8.5 which does not match any of the provided choices A) x = -8, B) x = -7, C) x = -6, D) x = -5.

Step-by-step explanation:

To find the value of the variable x in the equation 3x - 30 = 5x - 13, we can follow these steps:

1. First, we want to get all the x terms on one side of the equation and the constants on the other side. We can do this by subtracting 3x from both sides of the equation:
2. 3x - 30 - 3x = 5x - 13 - 3x
3. -30 = 2x - 13
4. Next, we will add 13 to both sides of the equation to isolate the term with x:
5. -30 + 13 = 2x - 13 + 13
6. -17 = 2x
7. Finally, we divide both sides by 2 to solve for x:
8. -17 / 2 = 2x / 2
9. x = -8.5

However, since -8.5 is not one of the options provided (A, B, C, D), there appears to be a mistake either in the options or the equation provided. The correct value of x is -8.5 which does not match any of the provided choices A) x = -8, B) x = -7, C) x = -6, D) x = -5.