Step-by-step explanation:
[tex] \tt{ \frac{x}{2} - \frac{x}{5} = 2}[/tex]
Take the L.C.M of 2 & 5. It's ' 10 '. Firstly find out the factors of 2 [ i.e 1 × 2 ] and then secondly find out the factors of 5 [ i.e 1 × 5 ]. Now , Note that while finding L.C.M of any numbers, Common numbers & Remaining numbers must be multiplied. In our case , common number = 1 & Remaining numbers are 2 & 5. Multiply them : [ 1 × 2 × 5 = 10 ].
⟶ [tex] \tt{ \frac{x \times 5 - x \times 2}{10} = 2}[/tex]
⟶ [tex] \tt{ \frac{5x - 2x}{10} = 2}[/tex]
Subtract 2x from 5x :
⟶ [tex] \tt{ \frac{3x}{10} = 2}[/tex]
Apply cross product property :
⟶ [tex] \tt{3x \times 1 = 2 \times 10}[/tex]
⟶ [tex] \tt{3x = 20}[/tex]
Here, We have to think about how to remove the coefficient 3. For that , Divide both sides of the equation by 3.
⟶ [tex] \tt{ \frac{3x}{3} = \frac{20}{3}} [/tex]
⟶ [tex] \tt{x =6.67}[/tex]
[tex] \pink {\boxed{ \boxed{ \tt{⇾ Our \: final \: answer : \boxed{ \underline{ \tt{x = \frac{20}{3} \: or \: 6.67 }}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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