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melissa5shen

Answer: x = 1/5

After expanding, (x+1)(x+4) = (x-2)(x-3) becomes x² + 5x + 4 = x² - 5x + 6. Subtracting x² and adding 5x to both sides, we have 10x = 2 and x = 1/5. You can plug this in to check.

i hope this was helpful! :D

Sueraiuka

Step-by-step explanation:

Hey there!

Given;

(X+1) (X+4) = (x-2) (x-3)

Multiply (X+1) and (X+4) on left side and (x-2) and (x-3) on right side.

[tex] {x}^{2} + 4x + x + 4 = {x}^{2} - 3x - 2x + 6[/tex]

Simplify it.

[tex]5x + 4 = - 5x + 6[/tex]

[tex]10x = 6 -4[/tex]

[tex]x = \frac{2}{10} [/tex]

Therefore, x= 1/5.

Hope it helps....

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