Question

x+2/3-x-3/4=5-x-1/2 solve the equation please answer​

Answer 1

Answer:

So , the value of x is $\sf{4\dfrac{7}{12}}$

Step-by-step explanation:

Given :

$\sf{x+\dfrac{2}{3}-x-\dfrac{3}{4}=5-x-\dfrac{1}{2}}$

To find :

The value of x in this equation

Solution :

$:\implies\sf{x+\dfrac{2}{3}-x-\dfrac{3}{4}=5-x-\dfrac{1}{2}}$

$:\implies\sf{x-x+x=\dfrac{5}{1}-\dfrac{1}{2}-\dfrac{2}{3}+\dfrac{3}{4}}$

Now first do the sum of "+" integer and the sum of "-" integer . Then subtract the sum of "-" integer from "+" integer .

$:\implies\sf{(x+x)-x=(\dfrac{5}{1}+\dfrac{3}{4})-(\dfrac{1}{2}+\dfrac{2}{3})}$

L.C.M. of 1 and 4 is 4 .

And the L.C.M. of 2 and 3 is 6 .

$:\implies\sf{2x-x=(\dfrac{20+3}{4})-(\dfrac{3+4}{6})}$

$:\implies\sf{x=\dfrac{23}{4}-\dfrac{7}{6}}$

L.C.M. of 4 and 6 is 12 .

$:\implies\sf{x=\dfrac{69-14}{12}}$

$:\implies\sf{x=\dfrac{55}{12}}$

Now , make it in mixed fraction .

$:\implies\sf{x=4\dfrac{7}{12}}$