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

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

Answer 2

2/7*x = 2/7x

Answer 3

Yes, and it's the distributive property so we're also doing 2/7 times -2, what do you get?

Answer 4

yes but i got 0.5 something

Answer 5

\[\frac{ 2 }{ 7 } \times 2 = \frac{ 4 }{ 7 }\]
So we're at:
\[\frac{ 2 }{ 7 }x - \frac{ 4 }{ 7 } = 4x\]

Answer 6

I like that solution a lot better, more pretty. It leaves the 7 under...

Answer 7

so would my answer be b

Answer 8

x = negative two thirteenths
-2/13=x

Answer 9

\[\frac{ 2 }{ 7 } \times 2 = \frac{ 4 }{ 7 }\]
So we're at:
\[\frac{ 2 }{ 7 }x - \frac{ 4 }{ 7 } = 4x\]

\[-\frac{4 }{ 7 } = \frac{ 28 }{ 7 }x - \frac{ 2 }{ 7 }x\]
\[-\frac{ 4 }{ 7 } = \frac{ 26 }{ 7 }x\]
Multiply both sides by 7
\[-4 = 26x\]
\[x = - \frac{ 4 }{ 26 }\]
Simplifying
\[x = - \frac{ 2}{ 13 }\]

Answer 10

You're right. I was just writing out a full explanation in case anyone else comes across this question.

Answer 11

okay

Answer 12

Thank you!