Question

linear equation
x-5/2 - x-3/5=1/2 ​

Answer 1

$Given \: linear \: equation :$

$\frac{x-5}{2} - \frac{x-3}{5} = \frac{1}{2}$

/* Multiplying bothsides of the equation by 10, we get */

$\implies \frac{10(x-5)}{2} - \frac{10(x-3)}{5} = \frac{10}{2}$

$\implies 5(x-5) - 2(x-3) = 5$

$\implies 5x - 25 - 2x + 6 = 5$

$\implies 3x - 19 = 5$

$\implies 3x = 5 + 19$

$\implies 3x = 24$

$\implies x = \frac{24}{3}$

$\implies x = 8$

Therefore.,

$\red{ Value \:of \: x } \green { = 8}$

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