Question

Solve for x: 2/5(x-2)=4x

Answer 1

Answer: x =-2/9

Explanation:

The expression we have is:

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

Step 1. Multiply both sides by 5/2

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

this is so that in the left side 5/2 x 2/5 would cancel each other:

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

Step 2: Solve the multiplication in the right side

`\begin{gathered} x-2=(20x)/(2) \\ x-2=10x \end{gathered}`

As we can see we are left with an expression that can be solved for x.

Step 3: Move all of the terms that contain x to the left side, and all of the numbers to the right side:

`x-10x=2`

Step 4: Combine like terms

`-9x=2`

Step 5: Divide both sides by -9:

`\begin{gathered} (-9x)/(-9)=-(2)/(9) \\ x=-(2)/(9) \end{gathered}`

Answer: x =-2/9