Question

5x-2(2x-7) equals to 2(3x-1) +7/2

Answer 1

Answer:    

$\underline{\boxed{x \: = \dfrac{5}{2} }}$  

 Step-by-step explanation:    

$\underline{\sf{Given\:that}}$  

$\sf{5x-\:2(2x-7) \: =\: 2(3x-1) +\dfrac{7}{2}}$    

$\implies \textsf{Now ópening brackets of both LHS and RHS we have, } </p><p></p><p>$  $\sf{5x-\:4x-14 \: =\: 6x- 2 +\dfrac{7}{2}}$  

$\implies \textsf{Solving (Simplifying) of like terms}$    

$\sf{x+14 \: =\: 6x- 2 +\dfrac{7}{2}}$    

$\implies \textsf{Now taking all variable terms to LHS and Constant terms to RHS we have,}$    

$\sf{x-6x=-2+\dfrac{7}{2} -14}$    

$\sf{-5x=\dfrac{7}{2} -16}$    

$\implies \textsf{Taking LCM and solving RHS we have,}$

$\sf{-5x =\dfrac{-25}{2}}$    

$\implies \textsf{Taking -5 to RHS we have}$    $\sf{x = \dfrac{-25}{2} \times \dfrac{1}{-5}}$  

$\underline{\textsf{Therefore....}}$    

$\boxed{\mathsf{x = \dfrac{5}{2}}}$  

$\underline{\large{\textbf{Note!!}}}$  

$\bigstar \textsf{ While moving a term from LHS to RHS or vice-versa the sign of the term}$ $\textsf{ gets changed to its}$ $\textsf{ opposite sign.}$    

' - ' changes to ' + '    

' × ' changes to ' ÷ ' (Or multiply with its reciprocal )