Question

Find the value of the variable.

$4p+2=22$

Short answer

The value of the variable is $\mathit{p}\mathbf{=}\mathbf{5}$.

Step-by-step solution

Step 1. Subtract 2.

To find the value of the variable p in the equation $4p+2=22$, subtract 2 from both sides of the equation.

$4p+2-\left(2\right)=22-\left(2\right)$

Step 2. Simplify the equation.

To simplify, remove all the brackets and combine the like terms.

$\begin{array}{l}4p+2-2=22-2\\ 4p=20\end{array}$

Step 3. Divide by 4.

To find the value of variable p in the equation $4p=20$, divide both sides of the equation by 4.

$\frac{4p}{4}=\frac{20}{4}$

Step 4. Simplify the equation.

To further simplify, cancel the common factors of 4 on both sides.

$\begin{array}{l}\frac{4p}{4}=\frac{4\times 5}{4}\\ p=5\end{array}$

Step 5. Verify the value.

In order to verify the value of p, substitute 5 for into the equation $4p+2=22$.

$\begin{array}{l}4\times 5+2=22\\ 20+2=22\\ 22=22\text{True}\end{array}$

Hence, the value of the variable is $p=5$.