Question

Solve: 3x-5/2 + x + 2x-3/3 =5/6-3x/2
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Answer 1

Answer:

13/14

Step-by-step explanation:

$\frac{(3x-5)}{2} +x+\frac{(2x-3)}{3} =\frac{5}{6} -\frac{3x}{2}$

Taking L.C.M. on both sides

L.C.M. is 6

$\frac{[3(3x-5)+6(x)+2(2x-3)]}{6} = \frac{[5-3(3x)]}{6} \\\frac{(9x-15+6x+4x-6)}{6} = \frac{(5-9x)}{6}$

6 gets cancelled on both sided

$19x-21=5-9x\\19x+9x=5+21\\28x=26\\x=\frac{26}{28} = \frac{13}{14}$

Therefore, x=13/14