# How do you solve 5+ 7k = k - 7?

Sep 5, 2017

Answer: $k = - 2$

#### Explanation:

Solve $5 + 7 k = k - 7$

First we want to isolate the variable $k$ on one side of the equation by subtracting $k$ and $5$ from both sides:
$5 + 7 k - k - 5 = k - 7 - k - 5$

We can simplify:
$6 k = - 12$

Finally, we divide both sides by $6$ to solve for $k$:
$\frac{6 k}{6} = - \frac{12}{6}$

$k = - 2$

Substituting into the original equation to check:
$5 + 7 \left(- 2\right) = \left(- 2\right) - 7$

$5 - 14 = - 9$

$- 9 = - 9$, which is true

Therefore, our answer is $k = - 2$