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Solve for x. Please show all steps needed.


x+8/(x+3)(x+4) = 3/x+3

User Ryan Walls
by
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1 Answer

4 votes

Answer:


x = -2

Explanation:


((x + 8))/([(x + 3) (x + 4)]) = (3)/((x + 3))

Multiplying both sides by (x + 3) (x + 4), we get:


(x + 8) = 3 (x + 4)

Expanding the right-hand side, we get:


x + 8 = 3x + 12

Subtracting x and 8 from both sides, we get:


2x = -4

Dividing both sides by 2, we get:


x = -2

Therefore, the solution to the given equation is x = -2. We can check this solution by substituting x = -2 into the original equation and verifying that both sides are equal.

User Gary Allen
by
7.8k points

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