# How do you solve 2x-2/3>=x-22?

Aug 28, 2017

$x > = 21$

#### Explanation:

First, let's remove the fraction by multiplying by 3 on both sides.

$2 x - \frac{2}{3} > = x - 22 \to$

$3 \left(2 x - \frac{2}{3} > = x - 22\right) \to$

$6 x - 3 > = 3 x - 66$

Next, let's isolate like terms.

$6 x - 3 > = 3 x - 66 \to$

$3 x > = 63$

Now we can solve for x.

$3 x > = 63 \to$

$x > = \frac{63}{3} \to$

$x > = 21$

If you have time, you can check the solution.