Question

if 5x -3÷4 =2x -2÷3 then x =​

Answer 1

Answer:

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Answer 2

Answer:

The answer is -

$x$ = $\frac{1}{36}$

Step-by-step explanation:

To find the value of $x$ if 5$x$ - $\frac{3}{4}$ = 2$x$ - $\frac{2}{3}$

Follow the rules of linear equation

5$x$ - $\frac{3}{4}$ = 2$x$ - $\frac{2}{3}$

5$x$ - 2$x$ = - $\frac{2}{3}$ + $\frac{3}{4}$

3$x$ = - $\frac{2}{3}$ + $\frac{3}{4}$

Now,

Take L.C.M of the denominators 3 and 4 [R.H.S, - $\frac{2}{3}$ + $\frac{3}{4}$]

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

$\frac{-2}{3}$ X $\frac{4}{4}$ and $\frac{3}{4}$ X $\frac{3}{3}$ [To make the denominators equal]

$\frac{-8}{12}$ and $\frac{9}{12}$

So,

3$x$ = - $\frac{2}{3}$ + $\frac{3}{4}$

3$x$ = $\frac{-8}{12}$ + $\frac{9}{12}$

3$x$ = $\frac{- 8 + 9}{12}$

3$x$ = $\frac{1}{12}$

$x$ = $\frac{1}{12}$ ÷ 3

As we know that to change the division sign to multiplication sign we write the reciprocal of the number and then multiply

Now,

$x$ = $\frac{1}{12}$ ÷ 3

$x$ = $\frac{1}{12}$ × 3

$x$ = $\frac{1}{36}$

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