Math, asked by intelligent12344, 1 year ago

Solve this question
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Answered by bhavishaPal
2

might help you.......if it helps please mark it as brainliest answer

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Answered by Anonymous
11

❏ Question:-

@ Find the value of x ,

\sf\longrightarrow x -  \frac{x - 1}{2}  = 1 -  \frac{x - 2}{3}

❏ Solution:-

: \sf\implies x -  \dfrac{x - 1}{2}  = 1 -  \dfrac{x - 2}{3}

: \sf\implies x -  \dfrac{x - 1}{2}  = 1 -  \dfrac{x - 2}{3}

: \sf\implies\dfrac{2x - (x - 1)}{2}  =  \dfrac{3 - (x - 2)}{3}

:  \sf\implies\dfrac{2x - x + 1}{2}  =  \dfrac{3 - x + 2}{3}

:  \sf\implies\dfrac{x + 1}{2}  =  \dfrac{5 - x}{3}

:  \sf\implies3\times(x + 1) = 2\times(5 - x)

:  \sf\implies3x + 3 = 10 - 2x

: \sf\implies3x + 2x = 10 - 3

: \sf\implies5x = 7

: \sf\implies \boxed{\red{\large{x =  \dfrac{7}{5}}}}

∴ The value of x = \sf   \dfrac{7}{5}

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