# In the equation: #(x+9) / 5 = 3/6#, what does x equal?

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To solve for ( x ) in the equation ( \frac{x+9}{5} = \frac{3}{6} ), we first need to isolate ( x ) by performing operations to both sides of the equation.

- Multiply both sides of the equation by 5 to eliminate the fraction:

[ 5 \times \frac{x+9}{5} = 5 \times \frac{3}{6} ]

[ x + 9 = \frac{15}{6} ]

- Simplify the fraction ( \frac{15}{6} ) to ( \frac{5}{2} ):

[ x + 9 = \frac{5}{2} ]

- Now, subtract 9 from both sides of the equation:

[ x + 9 - 9 = \frac{5}{2} - 9 ]

[ x = \frac{5}{2} - 9 ]

- Convert 9 into a fraction with a denominator of 2:

[ x = \frac{5}{2} - \frac{18}{2} ]

- Subtract the fractions:

[ x = \frac{5 - 18}{2} ]

[ x = \frac{-13}{2} ]

So, ( x ) equals ( \frac{-13}{2} ), which can also be written as ( -\frac{13}{2} ) or -6.5.

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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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