Question

Find the value of x.

$\frac{x+5}{4}=\frac{1}{2}$

Short answer

The value of x is $-3$.

Step-by-step solution

Step 1. Given information.

The ratio here given is,

$\frac{x+5}{4}=\frac{1}{2}$

Step 2. Concept and Formula Used.

The properties of proportion,

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

The given ratio is,$\frac{x+5}{4}=\frac{1}{2}$

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

Then,

$\begin{array}{l}2(x+5)=1\left(4\right)\\ 2x+10=4\left(\text{Usingdistributiveproperty}\right)\\ 2x=4-10\\ 2x=-6\end{array}$

Step 4. Divide both sides by 2.

$\begin{array}{l}\frac{2x}{2}=-\frac{6}{2}\\ x=-3\end{array}$

Therefore, the value of x is$-3$ .