Solve: 4/7x-3/2=x-1/7

4/7x-3/2=x-1/7
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1 Answer

Rearrange: (4/7)x-x=3/2-1/7,

x(4/7-1)=21/14-2/14=19/14,

x(4/7-7/7)=-3x/7=19/14,

-6x/14=19/14, so -6x=19, x=-19/6.

Another way to solve:

Multiply the original equation through by 14 (which is the LCM of 7 and 2):

8x-21=14x-2,

-21+2=14x-8x,

-19=6x, -19/6=x, so x=-19/6.
by Top Rated User (1.2m points)

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