Question

Find the value of x : x/2 - x/3 = x/4 + 1/2​

Answer 1

Answer:

Value of x is -6

Step-by-step explanation:

Given :

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

To find :

The value of x

Solution :

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

Do , the sum of "-" integer from the "+" integer .

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

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

L.C.M. of 3 and 4 is 12 .

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

$:\implies\sf{\dfrac{x}{2}-\dfrac{7x}{12}=\dfrac{1}{2}}$

L.C.M. of 2 and 12 is 12 .

$:\implies\sf{\dfrac{6x-7x}{12}=\dfrac{1}{2}}$

$:\implies\sf{\dfrac{-x}{12}=\dfrac{1}{2}}$

$:\implies\sf{-x=\dfrac{1}{2}\times12}$

$:\implies\sf{-x=6}$

$:\implies\sf{x=-6}$

So , the value of x is -6 .