Question

What is the solution to the equation 2k-10/-7=8

Answer 1

$\frac{2k-10}{-7}=8 \\ - \frac{2}{7}k- \frac{10}{7}=8 \\ - \frac{2}{7}k-1.43=8 \\ +1.43\ \ \ \ \ \ +1.43 \\ - \frac{2}{7}k=9.43 \\ * -\frac{7}{2}\ \ \ \ * -\frac{7}{2} \\ \boxed{k=-33.005}$

Answer 2

$\sf\dfrac{2k-10}{-7}=8$

Multiply -7 to both sides:

$\sf2k-10=-56$ 

Add 10 to both sides:

$\sf2k=-46$ 

Divide 2 to both sides:

$\sf~k=-23$