Question

x minus bracket 2 x minus 3 x minus 4 upon 7 bracket close equal to 4 x minus 27 upon 3 minus 3 if X equal to 6 check the answer

Answer 1

here is ur answer....

Answer 2

Answer: The answer is correct, x = 6.

Step-by-step explanation: We are given to check the answer of the given equation when x = 6.

We have

$x-\left(2x-\dfrac{3x-4}{7}\right)=\dfrac{4x-27}{3}-3\\\\\\\Rightarrow x-\left(\dfrac{11x+4}{7}\right)=\dfrac{4x-36}{3}\\\\\\\Rightarrow \dfrac{7x-11x-4}{7}=\dfrac{4x-36}{3}\\\\\\\Rightarrow \dfrac{-4x-4}{7}=\dfrac{4x-36}{3}\\\\\\\Rightarrow \dfrac{-x-1}{7}=\dfrac{x-9}{3}\\\\\Rightarrow -3x-3=7x-63\\\\\Rightarrow 10x=60\\\\\Rightarrow x=6.$

Now, if x = 6, then

$L.H.S.\\\\=x-\left(2x-\dfrac{3x-4}{7}\right)\\\\\\=6-\left(2\times 6-\dfrac{3\times 6-4}{7}\right)\\\\\\=6-\left(12-\dfrac{14}{7}\right)\\\\=6-(12-2)\\\\=6-10\\\\=-4,$

and

$R.H.S.\\\\=\dfrac{4\times 6-27}{3}-3\\\\\\=\dfrac{-3}{3}-3\\\\=-1-3\\\\=-4.$

Since L.H.S. = R.H.S., so the answer is correct.