Question

Find the value of x.

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

Short answer

The value of x is 11.

Step-by-step solution

Step 1. Given information.

The ratio here given is,

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

Step 2. Concept and Formula Used.

The properties of proportion,

if$\frac{a}{b}=\frac{c}{d}$ then$ad=bc$,

The given ratio is$\frac{x+3}{2}=\frac{2x-1}{3}$,

Step 3. Use the property of proportion, ifab=cd  then,ad=bc .

Then,

$\begin{array}{l}3(x+3)=2(2x-1)\\ 3x+9=4x-2\left(\text{Usingdistributiveproperty}\right)\\ 3x-4x=-2-9\\ -x=-11\\ x=11\end{array}$

Therefore,the value of x is 11.