Question

x/2 - 1/4 = x/3+1/2 Then x =​

Answer 1

✦ $\large{\underline{\mathfrak{\blue{Finding\;the\;value\;of\;x:}}}}$

= $\sf{ \dfrac{x}{2} - \dfrac{1}{4} = \dfrac{x}{3} + \dfrac{1}{2} }$

In the denominator, we have 2,4,3,2 and their LCM is 12. So, multiple both sides of the equation by 12.

= $\sf{ (12 × \dfrac{x}{2} ) - ( 12 ×\dfrac{1}{4} )= (12 × \dfrac{x}{3}) + ( 12 × \dfrac{1}{2} ) }$

= 6x - 3 = 4x + 6

Move variable and change their sign.

= 6x - 4x = 6 + 3

Collect like terms and solve it.

= 2x = 9

Divide the equation by 2.

= x $\sf{9}{2}$

Therefore, the value of x is 9/2.