Question

5x/4 + 1/2 = 2x - 1/2

Answer 1

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$\sf \frac{5x}{4} + \frac{1}{2} = 2x - \frac{ 1}{2}$

Take L.C.M. to make the denominators same

L.C.M. of 4,2 on L.H.S.=4

L.C.M. of 1 and 2 on R.H.S.=2

$= \sf \frac{5x + 2}{4} = \frac{4x - 2}{2}$

$\sf= 2(5x + 2) = 4(4x - 2)$

$\sf = 10x + 4 = 16x - 8 \\ \\ \sf = 10x - 16x = - 8 - 4 \\ \\ \sf = - 6x = - 12 \\ \\ \sf = x = \frac{ \cancel - 12}{ \cancel - 6} = 2$

So x=2

${\underline{❥ʜᴏᴘᴇ \: ɪᴛ \: ʜᴇʟᴘs \: ʏᴏᴜ.....}}$

Answer 2

Answer: x = 2

Hope it helps you.