Question

Solve the equation. Check your solution.

$\frac{\mathbf{d}}{\mathbf{12}}\mathbf{+}\mathbf{25}\mathbf{=}\mathbf{29}$

Short answer

The solution for the equation $\frac{d}{12}+25=29$ is $d=48$.

Step-by-step solution

.  Separate the variable and constants

Write the original equation and separate the variables.

$\begin{array}{l}\frac{d}{12}+25=29\\ \frac{d}{12}=29-25\\ \frac{d}{12}=4\end{array}$

.  Solve for d

Now, multiply both sides of the equation by 12.

Therefore, the solution of the equation is $d=48$.

$\begin{array}{l}\frac{d}{12}\times 12=4\times 12\\ d=4\times 12\\ d=48\end{array}$

.  Check the solution 

To check the solution, write the original equation and substitute the value of d.

$\frac{d}{12}+25=29$

Now, substitute $d=48$and check the result.

$\begin{array}{l}\frac{48}{12}+25=29\\ 4+25=29\\ 29=29\end{array}$

As the left-hand side is equal to right hand side, this signifies that the solution is correct.