Question

1/2(x+3) -2/5(x-3) =x+9​

Answer 1

$\huge\bold{\gray{\sf{Answer:}}}$

$\bold{Explanation:}$

$\sf\implies\:\dfrac{1}{2} (x + 3) - \frac{2}{5} (x - 3) = x + 9$

$\sf\implies\: \dfrac{x + 3}{2} - \dfrac{2(x - 3)}{5} = x + 9$

L.C.M of 2 and 5 is 10

$\sf\implies\: \dfrac{5(x + 3) - 4(x - 3)}{10} = x + 9$

$\sf\implies\: \dfrac{5x + 15 - 4x + 12}{10} = x + 9$

$\sf\implies\: x + 27 = 10(x + 9)$

$\sf\implies\: x + 27 = 10x + 90$

$\sf\implies\: x - 10x = 90 - 27$

$\sf\implies\: - 9x = 63$

$\sf\implies\:\:\:\bold{\red{x = - 7}}$

Check :

$\sf\implies\: \dfrac{1}{2} (x + 3) - \dfrac{2}{5} (x - 3) = x + 9$

$\sf\implies\: \dfrac{ - 7 + 3}{2} - \dfrac{2}{5} ( - 7 - 3) = - 7 + 9$

$\sf\implies\: - \dfrac{4}{2} - \dfrac{2}{5} ( - 10) = 2$

$\sf\implies\: - 2 + \dfrac{20}{5} = 2$

$\sf\implies\: - 2 + 4 = 2$

$\sf\implies\:2 = 2$

Answer 2

Step-by-step explanation:

1/2(x+3) -2/5(x-3) =x+9

{5(x+3)-2×2(x-3)}/10 = (x+9)

or 5x+15-4x+12= 10(x+9)

or x+27= 10x+90

or x-10x = 90-27

or -9x = 63

or x = -7