Question

Solve each equation. Check your solution.

$5n+6=-4$

Short answer

The solution of the given equation is $n=-2$.

Step-by-step solution

Step 1. Write the given equation.

The given equation is “$5n+6=-4$”.

Step 2. Solve the given equation.

Solving,

$5n+6=-4$ (Given equation)

$5n+6-6=-4-6$ (Subtract 6 from both sides)

$5n=-10$ (Simplify)

$\frac{5n}{5}=\frac{-10}{5}$ (Divide both sides by 5)

$n=-2$ (Simplify)

So, $n=-2$is the solution of the given equation.

Step 3. Check the obtained solution.

Put $n=-2$in the given equation $5n+6=-4$to get,

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

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.