Question

Solve for x: 2 over 5 (x − 2) = 4x. (1 point) 2 over 9 9 negative 2 over 9 negative 9 over 2

Answer 1

x=-2/9 or

x = negative 2 over 9

Explanation:

We need to solve:

`(2)/(5)(x-2)=4x`

and find the value of x.

Solving:

`(2)/(5)(x-2)=4x\\(2x)/(5)-(4)/(5)=4x\\ Adding \,\,4/5\,\,on\,\,both\,\,sides\\(2x)/(5)-(4)/(5)+(4)/(5)=4x+(4)/(5)\\(2x)/(5)=4x+(4)/(5)\\subtract \,\,4x\,\,from both sides\\(2x)/(5)-4x=(4)/(5)\\(2x-20x)/(5)=(4)/(5)\\(-18x)/(5)=(4)/(5)\\-18x=(4)/(5)*5\\-18x=4\\x=(4)/(-18)\\x=(-2)/(9)`

x=-2/9 or

x = negative 2 over 9