Question

If $-6x+10=17$, then $3x-5=$

A. $-\frac{7}{6}$

B. $-\frac{17}{2}$

C. 2

D. $\frac{19}{3}$

E. $\frac{5}{3}$

Short answer

The correct option is$-\frac{17}{2}$.

Step-by-step solution

Step 1- Observe the provided equation

The expression is half of the left side of the complete equation with opposite signs.

– Determine the required value 

Perform division of $-2$ on both sides of the provided equation.

$\begin{array}{c}\frac{-6x}{-2}+\frac{10}{-2}=\frac{17}{-2}\\ 3x-5=-\frac{17}{2}\end{array}$

Step 3- Make the conclusion

As the provided expression is equivalent to the number $-\frac{17}{2}$ so it is the correct option.