Solve for x:- # No Spam# No Plagiarism# No copy-paste

1.	Solve for x:- # No Spam# No Plagiarism# No copy-paste
Answer» GIVEN : $\sf\dfrac{2x}{5} - \dfrac{x}{2} = \dfrac{5}{2}$ To find : The VALUE of x Solution : $\sf \implies \dfrac{2x}{5} - \dfrac{x}{2} = \dfrac{5}{2}$ LCM of 5 and 2 = 10 $\sf \implies \dfrac{4x - 5x}{10} = \dfrac{5}{2}$ $\sf \implies \dfrac{ - x}{10} = \dfrac{5}{2}$ $\sf \implies - x = \dfrac{5}{2} \times 10$ $\sf \implies - x = \dfrac{5}{\cancel2 \: 1} \times \cancel{10} \: \: 5$ $\sf \implies - x =<klux>25</klux>$ $\sf \implies x = - 25$ Answer : -25 _____________________ Verification of Answer : To VERIFY your answer put x = -25 in :- $\sf\dfrac{2x}{5} - \dfrac{x}{2} = \dfrac{5}{2}$ If we get RHS = LHS then our answer is correct. So put x = -25 in LHS :- $\implies\dfrac{2(-25)}{5} -\dfrac{(-25)}{2}$ $\implies 2(-5)+\dfrac{25}{2}$ $\implies -10+\dfrac{25}{2}$ $\implies \dfrac{25-20}{2} =\dfrac{5}{2}$ Therefore LHS = RHS hence verified

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