Question

X/2=5+x/3
Solve the linear equations​

Answer 1

Answer:  x = 30

Step-by-step explanation:

Given:  $\frac{x}{2} = 5 +\frac{x}{3}$

To find: x

Solution:  

⇒   $\frac{x}{2} = 5 +\frac{x}{3}$  

⇒   $\frac{x}{2} = \frac{15+x}{3}$                     [Taking LCM = 3 on RHS]

⇒  3 x = 2( 15 + x)           [By cross multiplication]

⇒   3 x =  30 + 2 x

⇒   3 x - 2x = 30             [Shifting 2x to LHS]

⇒    x = 30

Hence, the value of x is 30

Thanks!