Question

Solve each equation. Check your solution.

$9\mathrm{x}+27=-72$

Short answer

The solution of the given equation is $x=-11$.

Step-by-step solution

Step 1. Write the given equation.

The given equation is “$9x+27=-72$”.

Step 2. Solve the given equation.

Solving,

$9x+27=-72$ (Given equation)

$9x+27-27=-72-27$ (Subtract 27 from both sides)

$9x=-99$ (Simplify)

$\frac{9x}{9}=\frac{-99}{9}$ (Divide both sides by 9)

$x=-11$ (Simplify)

So, $x=-11$is the solution of the given equation.

Step 3. Check the obtained solution.

Put $x=-11$in the given equation $9x+27=-72$to get,

$\begin{array}{l}9\left(-11\right)+27=-72\\ -99+27=-72\\ -72=-72\end{array}$

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.