Question

Solve for x: two sevenths(x − 2) = 4x

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

Answer:

SECOND OPTION: $x=-\frac{2}{13}$

Step-by-step explanation:

Given the following equation:

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

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

First, we need to apply Distributive property:

 $\frac{2x-4}{7}=4x$

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

$(7)(\frac{2x-4}{7})=(4x)(7)\\\\2x-4=28x$

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:

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