Question

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

$5x-6=14$

Short answer

The solution of linear equation is $x=4$

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

$5x-6=14$

Step 3. Solve.

$\begin{array}{l}5x-6=14\\ \Rightarrow 5x=14+\mathrm{6.........}\left[\text{add6}\right]\\ \Rightarrow 5x=20\\ \Rightarrow x=\frac{20}{5}\mathrm{...............}\left[\text{divideby5}\right]\\ \Rightarrow x=4\end{array}$

So, the solution of given equation is $x=4$