# How do you solve 3k-22=7k-16?

Jan 26, 2017

$k = - 1 \frac{1}{2}$

#### Explanation:

$3 k - 22 = 7 k - 16$

subtract $7 k$ from each side.

$3 k - 7 k - 22 = - 16$

Add $22$ to each side.

$3 k - 7 k = 22 - 16$

$- 4 k = 6$

Divide both sides by $- 4$

$k = - \frac{6}{4}$

$k = - \frac{3}{2}$

$k = - 1 \frac{1}{2}$