Question

-4/5x=9/-x+2 find 'x' value​

Answer 1

$\bigstar$ Correct Question:

• Find the value of x : (-4/5x) = 9/(-x +2)

$\bigstar$Given:

• (-4/5x) = 9/(-x +2)

$\bigstar$To find:

• The value of x in (-4/5x) = 9/(-x +2)

$\bigstar$ Solution:

$\frac{( - 4)}{5x} = \frac{9}{( - x + 2)} \\ \implies \: ( - x + 2)( - 4) = 9(5x)$

(By cross Multiplication)

$\\ \implies \: ( - 4)( - x) + ( - 4)(2) = 9(5x) \\ \implies \: 4x - 8 = 45x$

(Negative × Negative = Positive)

$\implies \: 4x - 45x = 8 \\ \implies \: ( - 41x) = 8 \\ \implies \: x = \frac{8}{( - 41)} \: or \: \frac{( - 8)}{41}$

$\bigstar$ Answer:

• Therefore, the value of x is (-8)/41.