Question

x+2/5 - x-1/2 = 3x-9/2 solve it​

Answer 1

$\\ \\ \underline{ \underline{ \sf \red{solution : } }}$

$\\ \sf \: \frac{x + 2}{5} - \frac{x - 1}{2} = \frac{3x - 9}{2} \\ \\ \\ \sf cross \: multiplying...we \: get... \\ \\ \\ \implies\sf \: \frac{2(x + 2) - 5(x - 1)}{5 \times 2} = \frac{3x - 9}{2} \\ \\ \\ \implies\sf \: \frac{ {2x + 4 - 5x + 5} }{10} = \frac{3x - 9}{2} \\ \\ \\ \implies \sf \: \frac{ - 3x + 9}{10} = \frac{3x - 9}{2} \\ \\ \\ \sf \:cross \: multiplying...we \: get.. \\ \\ \\ \sf \implies \: 2( - 3x + 9) = 10(3x - 9) \\ \\ \\ \implies \sf - 6x + 18 = 30x - 90 \\ \\ \\ \implies \sf - 6x - 30x = - 90 - 18 \\ \\ \\ \implies \sf - 36x = - 108 \\ \\ \\ \implies \sf x = \cancel\frac{ - 108}{ - 36} \\ \\ \\ \implies \boxed{ \sf \pink{x = 3}}$

Hence, value of x is 3.

Answer 2

Step-by-step explanation:

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