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

Explanation:

1st- We apply distributive property to the terms within parentheses:

2/7x-4/7=4x

2nd- Add on both sides of the equation we have:

2/7x=4x+4/7

3rd- Subtracting 4x from both sides of the equation we have:

2-28/7x=4/7

4th- We multiply by 7 on both sides of the equation:

7*-26/7x=4/7*7

5th- We divide by -26 on both sides of the equation:

-26/-26x=4/-26

6th- Answer:

x=-2/13

Answer 2

For this case we must solve the following equation:

`\frac {2} {7} (x-2) = 4x`

So:

We apply distributive property to the terms within parentheses:

`\frac {2} {7} x- \frac {4} {7} = 4x`

Add
`\frac {4} {7}` on both sides of the equation we have:

`\frac {2} {7} x = 4x + \frac {4} {7}`

Subtracting 4x from both sides of the equation we have:

`\frac {2} {7} x-4x = \frac {4} {7}\\\frac {2-28} {7} x = \frac {4} {7}\\\frac {-26} {7} x = \frac {4} {7}\\- \frac {26} {7} x = \frac {4} {7}`

We multiply by 7 on both sides of the equation:

`-26x = 4`

We divide by -26 on both sides of the equation:

`x = \frac {4} {- 26}\\x = - \frac {2} {13}`

ANswer:

`x = - \frac {2} {13}`