Question

5 ÷ (x+2) × 3 ÷ (4-2) = 2÷x​

Answer 1

Answer:

▪Given - 5 ÷ (x+2) × 3 ÷ (4-2) = 2÷x

▪ To find - Value of x

▪ Solution -

5 ÷ (x+2) × 3 ÷ (4-2) = 2÷x

5 ÷ 3x + 6 ÷ 2 = 2÷ x

5× 1/3x + 6 ×1/2 = 2× 1/x

5 / 3x + 6 × 1/2 = 2/x

5/ 6x + 12 = 2/x

5 (x) = 2 (6x + 12)

5x = 12x + 24

5x - 12x = 24

(- 7x) = 24

x = (-24)/7

# Be brainly

Answer 2

Step-by-step explanation:

$\frac{5}{x + 2} \times \frac{3}{x - 2} = \frac{2}{x}$

$\frac{5(x - 2) + 3(x + 2)}{(x + 2)(x - 2)} = \frac{2}{3}$

$\frac{5x - 10 + 3x + 6}{(x + 2)(x - 2)} = \frac{2}{3}$

$\frac{8x - 4}{( x+ 2)(x - 2)} = \frac{2}{3}$

$3(8x - 4) = 2(x + 2)(x - 2)$

$24x - 12 = 2( {x}^{2} - 2x + 2x - 4)$

$24x - 12 = 2 ({x}^{2} - 4)$

$24x - 12 = 2 {x}^{2} - 8$

$- 2 {x}^{2} + 24x - 12 + 8 = 0$

$- 2 {x}^{2} + 24x - 4 = 0$

${2x}^{2} - 24x + 4 = 0$

${x }^{2} - 12x + 2 = 0$

Hope it will help u..