Question

Solve the equation Check your solution.

$-18=3\left(w-1\right)$

Short answer

The solution of our given equation would be $w=-5$.

Step-by-step solution

Step 1. Given Information.

An equation: $-18=3\left(w-1\right)$

Step 2. Calculation.

To solve our given equation, we use opposite operations as shown below:

$\begin{array}{c}-18=3(w-1)\left(\text{Givenequation}\right)\\ \frac{-18}{3}=\frac{3(w-1)}{3}\left(\text{Dividingbothsidesby3}\right)\\ -6=w-1\\ w-1=-6\\ w-1+1=-6+1\left(\text{Adding1onbothsides}\right)\\ w=-5\end{array}$

Let us verify our answer by substituting $w=-5$in our original equation.

$\begin{array}{c}-18=3\left(w-1\right)\left(\text{Givenequation}\right)\\ -18=3\left(-5-1\right)\left(\text{Substituting}w=-5\right)\\ -18=3\left(-6\right)\\ -18=-18\end{array}$

Since both sides of equation are equal, therefore, $w=-5$ is a solution of our given equation.

Step 3. Conclusion.

The solution of our given equation would be $w=-5$.