# How do you solve this? 2x/3 - 9 = 0

Apr 13, 2018

$x = \frac{27}{2}$

#### Explanation:

$\text{isolate "(2x)/3" by adding 9 to both sides}$

$\frac{2 x}{3} \cancel{- 9} \cancel{+ 9} = 0 + 9$

$\Rightarrow \frac{2 x}{3} = 9$

$\text{multiply both sides by 3}$

${\cancel{3}}^{1} \times \frac{2 x}{\cancel{3}} ^ 1 = 3 \times 9$

$\Rightarrow 2 x = 27$

$\text{divide both sides by 2}$

$\frac{\cancel{2} x}{\cancel{2}} = \frac{27}{2}$

$\Rightarrow x = \frac{27}{2} \text{ is the solution}$

Apr 13, 2018

$x = 13.5$

#### Explanation:

$\frac{2 x}{3} - 9 = 0$

Take $9$ to other side it will add to zero

$\frac{2 x}{3} = 0 + 9$

$\frac{2 x}{3} = 9$

Then,

$2 x = 9 \cdot 3$

$2 x = 27$

$x = \frac{27}{2}$

$x = 13.5$

Apr 13, 2018

$x = 13.5$

#### Explanation:

First of all, you have to eliminate $9$, so you add $9$ on both sides. Now the equation is

$\frac{2 x}{3} = 9$

After that, you have to move $3$ to the other side so you can solve for $x$, so you multiply by $3$ on both sides. The equation becomes

$2 x = 27$

After that, you divide by $2$ on both sides and

$x = 13.5$

To check your answer, replace $13.5$ in for $x$ in the original equation, which would be

$\frac{2 \left(13.5\right)}{3} - 9 = 0$

Apr 13, 2018

$x = \frac{27}{2} = 13.5$

#### Explanation:

$\frac{2 x}{3} - 9 = 0$

$\frac{2 x}{3} = 9$

$2 x = 27$

$x = \frac{27}{2} = 13.5$