Question

The given equation is either linear or equivalent to a linear equation. Solve the equation.

$3+\frac{1}{3}x=5$

Short answer

The solution of linear equation is $x=6$

Step-by-step solution

Step 1. Solving a linear equation.

We solve a linear equation by changing it to an equivalent equation with all terms that have the variable x on one side and all constant terms on the other.

Step 2. Analyze the given expression.

Given

$3+\frac{1}{3}x=5$

Step 3. Solve.

$\begin{array}{l}3+\frac{1}{3}x=5\\ \Rightarrow \frac{1}{3}x=5-\mathrm{3.........}\left[\text{subtract3}\right]\\ \Rightarrow \frac{1}{3}x=2\\ \Rightarrow x=3\cdot \mathrm{2...............}\left[\text{multiplyby3}\right]\\ \Rightarrow x=6\end{array}$

So, the solution of given equation is $x=6$