Question

x+2/x+3 =4 find the value of x​

Answer 1

Answer:

10/3 is the answer

Step-by-step explanation:

x+2/x+3 =4

x + 2 = 4(x + 3)

x + 2 = 4x + 12

4x - x = 12 - 2

3x = 10

x = 10/3

Answer 2

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

$\sf \longmapsto \dfrac{x + 2}{x + 3} = 4$

Now,cross multiply to both sides.

=>4 having 1 as denominator

$\sf \longmapsto1(x + 2) = 4(x + 3)$

$\sf \longmapsto \: x + 2 = 4x + 12$

Now , arrange Variable and constant terms together :

=>when we shift 4x towards left side it's sign gets changed from +ve to -ve.Similarly,when we move 2 to right side it's gets subtracted with 12.

$\sf \longmapsto \: x - 4x = 12 - 2$

$\sf \longmapsto - 3x = 10$

$\sf \longmapsto \bold{x = - \dfrac{10}{3}}$

Check

$\sf \longmapsto \dfrac{x + 2}{x + 3}$

$\sf \longmapsto \dfrac{ \dfrac{ - 10}{3} + 2 }{ \dfrac{ - 10}{3} + 3}$

$\sf \longmapsto \dfrac{ \dfrac{ - 10 + 6}{{ \cancel{3}}} }{ \dfrac{ - 10 + 9}{{ \cancel{3}}} }$

$\sf \longmapsto \dfrac{ - 4}{ - 1} = 4$

∴LHS=RHS(verified)