# How do you solve 1/2k - 3 = 2 - 3/4k ?

Mar 4, 2018

#### Answer:

The value of $k$ is $4$.

#### Explanation:

Your equation is

$\frac{1}{2} k - 3 = 2 - \frac{3}{4} k$

Multiplying both sides by $4$, we get

$2 k - 12 = 8 - 3 k$

Keeping the terms involving $k$ on one side and the constants on the other, we get

$- 12 - 8 = - 3 k - 2 k$

$- 20 = - 5 k$

Divide both sides by $- 5$

$\frac{- 20}{-} 5 = \frac{- 5 k}{-} 5$

$4 = k$