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Verified Answer :

Hmm, seems like they tried to get sneaky with the variable placement.  

The first thing you need to to is distribute 2/5 through the parenthesis.  This gives you the equation:

2/5x-4/5=4x

Now, get x on one side of the equation:

-4/5=3 3/5x (note the mixed number)

x=-2/9 (negative because we're dividing a positive and negative number)

Cricetus

Answer:

\(-\frac{2}{9}\)

Step-by-step explanation:

Our equation is

\(\frac{2}{5}(x-2)=4x\)

Multiplying both sides by 5 we get

\(2(x-2)=5*4x\\2x-4=20x\)

bringing 2x to other side of = sign

\(-4=20x-2x\\18x=-4\)

dividing both sides by 18

\(x=\frac{-4}{18}\\x=-\frac{2}{9}\)

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