If 17(2-x)-5(x+12) divided by 1-7x =8 .Then value of x is .......

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Solution

17(2-x)
=34-17x

-5(x+12)
=-5x-60

Now,

34-17x-5x-60
=(34-60)-17x-5x
= -26-22x

Transposing 1-7x to the RHS, you get:

-26-22x = 8(1-7x)
-26-22x = 8-56x

By grouping the like terms,

-22x+56x = 8+26
34x = 34
x = 34/34
x = 1

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