# How do you simplify #- 4/ (x - 5) + 7/ (2x + 3)#?

Rearrange and write as:

To simplify this, you need to make the denominators equal by finding their lowest common denominator (multiple). Whatever happens to the denominator, must happen to the numerator:

Because the denominators now share the same LCM, you can merge them:

Multiply out all the brackets:

Proceed to simplify terms:

OR

Keep the denominator in the brackets:

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To simplify the expression -4/(x - 5) + 7/(2x + 3), you need to find a common denominator for the two fractions. The common denominator is (x - 5)(2x + 3). Multiply the numerator and denominator of the first fraction by (2x + 3), and multiply the numerator and denominator of the second fraction by (x - 5). This gives you (-4)(2x + 3)/(x - 5)(2x + 3) + (7)(x - 5)/(x - 5)(2x + 3). Simplify the numerators and combine the fractions over the common denominator. The simplified expression is (-8x - 12 + 7x - 35)/(x - 5)(2x + 3). Combine like terms in the numerator to get (-x - 47)/(x - 5)(2x + 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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