Question

x in 5/(x+2) - 3/(x-2) = 2/x​

Answer 1

✪ GIVEN :-

• $\implies \boxed{\bold{\frac{5}{ x + 2} - \frac{3}{(x - 2)} = \frac{2}{x} }}$

✪ TO FIND :-

• the value of the 'x' in given equation

✪ SOLUTION :-

• Multiply all terms by (x+2)(x-2)(x) and cancel :

$\small\sf{5(x−2)(x) - 3(x+2)(x)=2(x+2)(x−2)}$

• (Simplify both sides of the equation)

• (Subtract 2x² from both sides)

$\sf{2x ^{2} −16x−2x ^{2} =2x ^{2} −8−2x ^{2} }$

$\implies \sf{−16x=−8}$

so,

• x = 1/2

✪ FINAL ANSWER :-

✪ x = 1/2