Question

Find the value of the variable.

$7x=-35$

Short answer

The value of the variable is $x=-5$.

Step-by-step solution

Step 1. Divide by 7.

To find the value of the variable x in the equation $7x=-35$, divide both sides of the equation by 7.

$\frac{7x}{7}=-\frac{35}{7}$

Step 2. Simplify the equation.

To further simplify, cancel the common factors of 7.

$$\begin{gathered} \frac{7x}{7}=-\frac{7\times 5}{7} \\ x=-5 \end{gathered}$$

Step 3. Verify the value.

In order to verify the value of x, substitute $-5$for into the equation $7x=-35$.

$\begin{array}{l}7\times \left(-5\right)=-35\\ -35=-35\text{True}\end{array}$

Hence, the value of the variable is $x=-5$.