# How do you solve #\frac { 4} { x + 3} = \frac { 2} { x - 3}#?

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Work backwards to isolate x

First remove the parenthesis represented by the division signs

This gives

multiplying across the parenthesis using the distributive property

Next adding the opposites looks like this

Which gives

divide both sides by 2

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To solve ( \frac{4}{x + 3} = \frac{2}{x - 3} ), cross-multiply to eliminate the denominators. Then, solve for ( x ).

[ 4(x - 3) = 2(x + 3) ]

[ 4x - 12 = 2x + 6 ]

[ 4x - 2x = 12 + 6 ]

[ 2x = 18 ]

[ x = 9 ]

So, the solution to the equation is ( x = 9 ).

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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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