​ If x+7/3x+16 = 4/7 then x = ​

Question

If \(\frac{x+7}{3x+16} = \frac{4}{7 }\) then x =

A) – 1 

B) – 2 

C) – 3 

D) – 4

Answer 1

Correct option is  C) – 3

Answer 2

Correct option is (C) –3

\(\frac{x+7}{3x+16}=\frac{4}{7}\)

\(\Rightarrow\) 7(x+7) = 4(3x+16)

\(\Rightarrow\) 7x+49 = 12x+64

\(\Rightarrow\) 12x - 7x = 49 - 64 = -15

\(\Rightarrow\) 5x = -15

\(\Rightarrow\) x = \(\frac{-15}5\) = -3.