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Question

Solve the following linear equation:

x+7-8x/3=17/6-5x/2

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Solution

Solution:


X+7 -8x/3 = 17/6 – 5x/2

X+7 -8x/3 +5x/2= 17/6

[ Transposing 5x/2 to L.H.S]

LCM of the denominators 2, 3 is 6.

[6(x+7)- 2(8x)+3(5x)]/6=17/6



6x+42-16x+15x=6× (17/6)

6x -16x+15x+42= 17



-10x+15x=17-42



[Transposing 42 to R.H.S]

5x= -25

x= -25/5

X= -5

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