Question

2/5(x-2)=4x solve for x

Answer 1

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)

Answer 2

`-(2)/(9)`

Explanation:

Our equation is

`(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=(-4)/(18)\\x=-(2)/(9)`