Chapter 1.4, Problem 14MRE

To determine

To solve: the equation $2x=x+3$ .

Answer to Problem 14MRE

  $x=3$

Explanation of Solution

Given:

  $x\in \left\{0,1,2,3,4\right\}$

Calculation:

First substitute $x=0$ ,

  $\begin{array}{c}2\left(0\right)=0+3\\ 0=3\end{array}$

This statement is false.

Now substitute $x=1$ ,

  $\begin{array}{c}2\left(1\right)=1+3\\ 2=4\end{array}$

This statement is false.

Now substitute $x=2$ ,

  $\begin{array}{c}2\left(2\right)=2+3\\ 4=5\end{array}$

This statement is false.

Now substitute $x=3$ ,

  $\begin{array}{c}2\left(3\right)=3+3\\ 6=6\end{array}$

This statement is true.

Now substitute $x=4$ ,

  $\begin{array}{c}2\left(4\right)=4+3\\ 8=7\end{array}$

This statement is false.

Thus, the solution of the given equation is $x=3$ .