Question

Solve for x : 5x+7/2=7x/2-14​

Answer 1

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Answer 2

$\tt{Answer\ :}$

5x + $\dfrac{7}{2}$ =  $\dfrac{7x}{2}$ - 14

5x -  $\dfrac{7x}{2}$ = -14 -  $\dfrac{7}{2}$

Take L.C.M. of liked fractions :-

$\dfrac{10x\ -\ 7x}{2}$ = $\dfrac{-\ 28\ - 7}{2}$

$\dfrac{3x}{2}$ = $\dfrac{-35}{2}$

3x = $\dfrac{-35}{2}$ × 2

3x = $\dfrac{-70}{2}$

3x = -35

x = $\dfrac{-35}{3}$

$\huge{\tt{Verification\ :}}$

5x + $\dfrac{7}{2}$ =  $\dfrac{7x}{2}$ - 14

Put the value of x = $\dfrac{-35}{3}$

5( $\dfrac{-35}{3}$) + $\dfrac{7}{2}$ = $\dfrac{7x}{2}$ - 14

$\dfrac{-175}{3}$ + $\dfrac{7}{2}$ = $\dfrac{7}{2}$ ( $\dfrac{-35}{3}$ )

$\dfrac{-350\ + \ 21}{6}$ = $\dfrac{-245}{6}$ - 14

$\dfrac{-329}{6}$ = $\dfrac{-245\ -\ 84}{6}$

$\dfrac{-329}{6}$ = $\dfrac{-329}{6}$

$\underline{\text{Hence,\ it\ is\ verified..!}}$

So, the value of x is $\dfrac{-35}{3}$