Chapter 2, Problem 1MCP

Solve: $\frac{x}{2}=12-\frac{x}{4}$ .

To determine

The solve the equation $\frac{x}{2}=12-\frac{x}{4}$.

Answer to Problem 1MCP

Solution:

$x=16$.

Explanation of Solution

Given:

The equation $\frac{x}{2}=12-\frac{x}{4}$.

Calculation:

Here we have been given the equation as $\frac{x}{2}=12-\frac{x}{4}$.

Now we need to find the value of $x$. So, we perform the below calculations.

   $\begin{array}{l}\frac{x}{2}=12-\frac{x}{4}\\ \Rightarrow \frac{x}{2}+\frac{x}{4}=12\\ \Rightarrow \frac{2x+x}{4}=12\\ \Rightarrow \frac{3x}{4}=12\\ \Rightarrow 3x=12\times 4\\ \Rightarrow 3x=48\\ \Rightarrow x=\frac{48}{3}\\ \therefore x=16\end{array}$

Hence the value of $x$ is $16$.

Conclusion:

The solution of the given equation is $x=16$.