Question

Solve for x: 2/5 (x − 2) = 4x. (1 point) I don't understand what to do for this problem. Can someone help??

Answer 1

Answer:

-2/9 =x

Step-by-step explanation:

2/5 (x − 2) = 4x

Multiply each side by 5/2

I do this because we want to get rid of the fraction in the denominator.  I also know that the right side has a 4 in the numerator so, the 2 in the denominator that we are multiplying by will cancel.

5/2 *2/5 (x − 2) = 4x*5/2

x-2 = 20/2 x

x-2 = 10x

Subtract x from each side

x-2 -x = 10 -x

-2 = 9x

Divide each side by 9

-2/9 =9x/9

-2/9 =x

Answer 2

Answer:

x=-2/9

Step-by-step explanation:

First, divide both sides by 2/5

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

x-2=10x, Subtract x from both sides.

-2=9x, Divide both sides by 9

x=-2/9, If you need you can check your answer by substituting the value of x into the original equation.