Question

Solve for x: two sevenths(x − 2) = 4x

x = two thirteenths
x = negative two thirteenths
x = negative thirteen halves
x = thirteen halves

Answer 1

`\bf \cfrac{2}{7}(x-2)=4x\implies \cfrac{2(x-2)}{7}=4x\implies 2(x-2)=28x\implies 2x-4=28x \\\\\\ -4=26x\implies \cfrac{-4}{26}=x\implies -\cfrac{2}{13}=x`

Answer 2

SECOND OPTION:
`x=-(2)/(13)`

Explanation:

Given the following equation:

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

We need to to solve for "x" in order to find its value.

First, we need to apply Distributive property:

`(2x-4)/(7)=4x`

Now, we multiply both sides of the equation by 7:

`(7)((2x-4)/(7))=(4x)(7)\\\\2x-4=28x`

Then, we can subtract
`2x` from both sides of the equation:

`2x-4-2x=28x-2x\\\\-4=26x`

And finally we can divide both sides by 26:

`(-4)/(26)=(26x)/(26)\\\\x=-(2)/(13)`