Question

Solve each equation. Check your solution.

$2a-6=4$

Short answer

The solution of the given equation $a=5$.

Step-by-step solution

Step 1. Isolate the variable.

$\begin{array}{l}2a-6=4\\ 2a=4+6\\ 2a=10\end{array}$

Step 2. Solve for the variable.

$\begin{array}{l}a=\frac{10}{2}\\ a=5\end{array}$

Step 3. Check the solution by putting the value of a into the given equation.

$\begin{array}{l}2a-6=4\\ 2\left(5\right)-6=4\\ 10-6=4\\ 4=4\end{array}$

Hence, proved.