Question

Solve each equation. Check your solution.

$8=\frac{x-5}{7}$

Short answer

The solution of the given equation $x=61$.

Step-by-step solution

Step 1. Remove the denominator.

$\begin{array}{l}8=\frac{x-5}{7}\\ x-5=8\times 7\end{array}$

Step 2. Solve for the variable.

$\begin{array}{l}x-5=56\\ x=56+5\\ x=61\end{array}$

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

$\begin{array}{l}8=\frac{x-5}{7}\\ 8=\frac{61-5}{7}\\ 8=\frac{56}{7}\\ 8=8\end{array}$