Question

Solve each equation. Check your solution.

$3d+7=6d+5$

Short answer

The required answer is$\frac{2}{3}$.

Step-by-step solution

Step 1- Isolate the variable d

Perform subtraction of 7 and $6d$on both the sides of the equation.

$\begin{array}{c}3d+7-7-6d=6d+5-6d-7\\ -3d=-2\end{array}$

Perform division of 3 on both the sides of the equation

$\begin{array}{c}\frac{-3d}{3}=\frac{-2}{3}\\ d=\frac{2}{3}\end{array}$

– Check the obtained value 

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

$\begin{array}{l}3\left(\frac{2}{3}\right)+7\stackrel{?}{=}6\left(\frac{2}{3}\right)+5\\ 2+7\stackrel{?}{=}4+5\\ 9=9\end{array}$

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.