Q6 - Geometry

Question

Find the value of the variable.

$4x=28$

Step-by-Step Solution

Answer

The value of the variable is $\mathit{x}\mathbf{=}\mathbf{7}$.

Step 1. Divide by 4.

To find the value of variable x in the equation $4x=28$, divide both sides of the equation by 4.

$\frac{4x}{4}=\frac{28}{4}$

Step 2. Simplify the equation.

To further simplify, cancel the common factors of 4.

$\begin{array}{l}\frac{4x}{4}=\frac{7\times 4}{4}\\ x=7\end{array}$

Step 3. Verify the value.

In order to verify the value of x, substitute 7 for x into the equation $4x=28$.

$\begin{array}{l}4\times \left(7\right)=28\\ 28=28\text{ True}\end{array}$

Hence, the value of the variable is $x=7$.