Question

Solve$\frac{x+2}{4}=2$. Explain how you solved the equation and how you know your solution is correct.

Short answer

The solution of the equation is$x=6$.

Step-by-step solution

.  Given information.

The equation is:$\frac{x+2}{4}=2$

.  Solve the equation.

Let’s solve the equation,

$\begin{array}{l}\frac{x+2}{4}=2\\ x+2=2\times 4\left[\text{bycrossmultiplication}\right]\\ x=8-2\end{array}$

So,$x=6$

.  Verify the solution.

To verify whether the solution is correct or not.

Put the solution to the given equation, we should get the equal value for right hand side and left-hand side,

Therefore,

Left hand side,

$\begin{array}{l}\frac{x+2}{4}=\frac{6+2}{4}\\ =2\end{array}$

Right hand side$=2$

Hence, the solution is $x=6$

and the solution is correct.