\(\frac{5x+2}{2x+3} = \frac{12}{7}\) then x =........................

1.	\(\frac{5x+2}{2x+3} = \frac{12}{7}\) then x =.........................A) -3 B) -1C) 4 D) 2
Answer» Correct option is D) 2 Correct option is (D) 2 \(\frac{5x+2}{2x+3}=\frac{12}{7}\) \(\Rightarrow\) 7(5x+2) = 12(2x+3) \(\Rightarrow\) 35x + 14 = 24x + 36 \(\Rightarrow\) 35x - 24x = 36 - 14 \(\Rightarrow\) 11x = 22 \(\Rightarrow\) x = \(\frac{22}{11}\) = 2.

\(\frac{5x+2}{2x+3} = \frac{12}{7}\) then x =.........................A) -3 B) -1C) 4 D) 2

Answer»

Correct option is D) 2

Correct option is (D) 2

\(\frac{5x+2}{2x+3}=\frac{12}{7}\)

\(\Rightarrow\) 7(5x+2) = 12(2x+3)

\(\Rightarrow\) 35x + 14 = 24x + 36

\(\Rightarrow\) 35x - 24x = 36 - 14

\(\Rightarrow\) 11x = 22

\(\Rightarrow\) x = \(\frac{22}{11}\) = 2.