Question

x+2/x-2 = 7/3
Find the value of x​

Answer 1

$\huge\underline{\orange{\bf Answer :-}}$

$\implies$(x + 2)/(x - 2) = 7/3

$\implies$3x + 6 = 7x - 14

$\implies$3x - 7x = - 14 - 6

$\implies$- 4x = - 20

$\implies$x = (- 20)/(- 4)

$\implies$x = 5

Hope it helps :)

Answer 2

$\huge\bold{Given:-}$

• x+2/x-2 = 7/3
• Find the value of x.

$\huge\bold{To \: Find:-}$

• The value of x.

$\huge\bold{Solution:-}$

• $\implies$(x + 2)/(x - 2) = 7/3
• $\implies$3x + 6 = 7x - 14

• $\implies$3x - 7x = - 14 - 6

• $\implies$- 4x = - 20

• $\implies$ x = (- 20)/(- 4)

• $\implies$x = 5

$\huge\bold{Varifying:-}$

• $\implies$5+2/5-2=7/3

• $\implies$7/3=7/3

• $\implies$1=1

:.L.H.S.=R.H.S.

hence proved!

$\huge\bold{A \: Few \: Rules:-}$

To move constants and variables:-

• L.H.S.(+)=R.H.S.(-)
• L.H.S.(-)=R.H.S.(+)
• L.H.S.(÷)=R.H.S.(×)
• L.H.S.(×)=R.H.S.(÷)

Hope it helped!