Question

Solve each equation. Check your solution.

$2p+15=29$

Short answer

The required answer is 7.

Step-by-step solution

Step 1- Isolate the variable p

Perform subtraction of 15 on both sides of the equation.

$\begin{array}{c}2p+15-15=29-15\\ 2p=14\end{array}$

Perform division of 2 on both sides of the equation.

$\begin{array}{c}\frac{2p}{2}=\frac{14}{2}\\ p=7\end{array}$

– Check the obtained value 

Substitute the obtained value of p into the original equation and perform simplification for checking.

$\begin{array}{l}2\left(7\right)+15\stackrel{?}{=}29\\ 14+15\stackrel{?}{=}29\\ 29=29\end{array}$

Step 3- Make the conclusion

As the checking results in equal values on both the sides on substation of obtained value which means that obtained value is correct.