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Make x the subject of this equation: y= 2(1-x)/(3x-1)

step 1:

Open up the numerator on the R.H.S.

y= (2-2x)/(3x-1)

Step 2

Multiply both sides with (3x-1)

y*(3x-1)=2-2x

=3xy-y=2-2x

Step 4

Bring -2x to the left hand side-remember to change the sign!

3xy-y+2x=2

Step 5

Bring -y to the right hand side-again, remember to change the sign!

3xy+2x=2+y

Step 6

Take x common on the R.H.S.

x(3y+2)=2+y

Step 7

Divide both sides with (3y+2)

x=(2+y)/(3y+2)

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