Solve: $ \frac{x+5}{2}=1+\frac{2 x-1}{3} $.

Given:

Given equation is $\frac{x+5}{2}=1+\frac{2x-1}{3}$.

To do:

We have to solve the given equation.

Solution:

$\frac{x+5}{2}=1+\frac{2x-1}{3}$

$\frac{x+5}{2}=\frac{3\times1+(2x-1)}{3}$

$\frac{x+5}{2}=\frac{3+2x-1}{3}$

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

On cross multiplying, we get,

$3\times (x+5) =2\times (2x+2)$

$3(x)+3(5)=2(2x)+2(2)$

$3x+15=4x+4$

$4x-3x=15-4$

$x=11$

The value of x is 11.


 

Tutorialspoint

Updated on: 10-Oct-2022

40 Views

Kickstart Your Career

Get certified by completing the course

Get Started