How do you solve #5/(x+2)=6/x#?

Answer 1

#color(blue)(x=-12#

#5/(x+2)=6/x#

Cross multiplying

#5* x=6 * (x+2)#
#5x=6x +12#
#5x-6x=12#
#-x=12#
#color(blue)(x=-12#
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Answer 2

To solve the equation 5/(x+2) = 6/x, you can start by cross-multiplying. Multiply 5 by x and 6 by (x+2). This gives you 5x = 6(x+2). Expand the equation by distributing 6 to both terms inside the parentheses. Simplify further by multiplying 6 by x and 6 by 2. This results in 5x = 6x + 12. Next, move all the terms involving x to one side of the equation by subtracting 6x from both sides. This gives you 5x - 6x = 12. Simplify the equation by combining like terms, which gives you -x = 12. Finally, solve for x by dividing both sides of the equation by -1. This yields x = -12. Therefore, the solution to the equation 5/(x+2) = 6/x is x = -12.

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Answer from HIX Tutor

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.

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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