Question

Solve for x. Please show all steps needed.


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

Answer 1

`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.