Question

Solve the equation $\frac{5x+2}{2x+3}=\frac{12}{7}$............(1)

Answer 1

Let us multiply both sides of the given equation by $2x+3$

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

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

Again multiplying both sides of the equation by $7$. This gives

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

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

$35x+14=24x+36$

$35x-24x=36-14$

$11x=22$

$\therefore$ $x=\frac{22}{11}=2$