# How do you solve #x-5=-3/2x+5/2#?

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To solve the equation x - 5 = -3/2x + 5/2:

- Add 3/2x to both sides: x + 3/2x - 5 = 5/2
- Combine like terms: (2/2x + 3/2x) - 5 = 5/2
- Simplify: (5/2)x - 5 = 5/2
- Add 5 to both sides: (5/2)x - 5 + 5 = 5/2 + 5
- Simplify: (5/2)x = 5/2 + 10/2
- Combine fractions: (5/2)x = 15/2
- Multiply both sides by 2/5: (2/5)
*(5/2)x = (2/5)*(15/2) - Simplify: x = 15/5
- Final answer: x = 3

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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