Question

Find the value of the variable.

$-5x=-5$

Short answer

The value of the variable is $x=1$.

Step-by-step solution

Step 1. Divide by 5.

To find the value of variable x in the equation $-5x=-5$, divide both sides of the equation by 5.

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

Step 2. Simplify the equation.

To further simplify, cancel the common factors of 5.

$\begin{array}{l}-\frac{5x}{5}=-\frac{5}{5}\\ -x=-1\end{array}$

Step 3. Multiply by -1.

In order to obtain x, multiply the equation $-x=-1$from both sides $-1$.

$\begin{array}{l}-x\times \left(-1\right)=-1\times \left(-1\right)\\ x=1\end{array}$

Step 4. Verify the value.

Now to verify the value of x, substitute 1 for x into the equation $-5x=-5$.

$\begin{array}{l}-5\times \left(1\right)=-5\\ -5=-5\text{True}\end{array}$

Hence, the value of the variable is $x=1$.