Question

Solve the equation. Check your solution.

$\mathbf{-}\mathbf{5}\mathbf{.}\mathbf{7}\mathbf{+}\mathbf{2}\mathbf{.}\mathbf{6}\mathbf{d}\mathbf{=}\mathbf{-}\mathbf{14}\mathbf{.}\mathbf{02}$

Short answer

The solution for the equation $-5.7+2.6d=-14.02$ is $d=-3.2$.

Step-by-step solution

.  Separate the variable and constants

Write the original equation and separate the variables.

$\begin{array}{l}-5.7+2.6d=-14.02\\ 2.6d=-14.02+5.7\\ 2.6d=-8.32\end{array}$

.  Solve for d

Now, divide both sides of the equation by -2.6.

$\begin{array}{l}\frac{2.6d}{2.6}=\frac{-8.32}{2.6}\\ d=-3.2\end{array}$

Therefore, the solution of the equation is $d=-3.2$.

.  Check the solution 

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

$-5.7+2.6d=-14.02$

Now, substitute $d=-3.2$and check the result.

$\begin{array}{l}-5.7+2.6\left(-3.2\right)=-14.02\\ -5.7-8.32=-14.02\\ -14.02=-14.02\end{array}$

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