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  5. Linear Equations in One Variable

8th Class Mathematics Linear Equations in One Variable Question Bank Linear Equations in one Variable

  • question_answer
    If\[\frac{3x-4}{3}+\frac{5x+2}{2}=\frac{x}{6}+\mathbf{3}\], then x = ____

    A)  1

    B)  2            

    C)  3                                

    D)  4

    Correct Answer: A

    Solution :

       (a): \[\frac{3x-4}{3}+\frac{5x+2}{2}=\frac{x}{6}+3\] \[\Rightarrow x-\frac{4}{3}+\frac{5}{2}x+1=\frac{x}{6}+3\] \[\Rightarrow x+\frac{5}{2}-\frac{x}{6}=2+\frac{4}{3}\] \[\Rightarrow \frac{6x+15x-x}{6}=\frac{10}{3}\] \[\Rightarrow 20x=20\Rightarrow x=1.\]               


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