# How do you solve 34,000- \frac { 4000} { 3} x = 2000?

Jul 13, 2018

color(purple)(x = 24

#### Explanation:

$34000 - \left(\frac{4000}{3}\right) x = 2000$

$\left(\frac{4000}{3}\right) x = 34000 - 2000 = 32000$

$4000 x = 3 \cdot 32000 = 96000$

$x = {\cancel{96000}}^{\textcolor{red}{24}} / \cancel{4000} = 24$

Jul 13, 2018

$x = 24$

#### Explanation:

$\text{subtract "34000" from both sides}$

$- \frac{4000}{3} x = 2000 - 34000 = - 32000$

$\text{multiply both sides by 3}$

$- 4000 x = - 96000$

$\text{divide both sides by } - 4000$

$x = \frac{- 96000}{- 4000} = 24$

Jul 13, 2018

$x = 24$

#### Explanation:

$34000 - \frac{4000}{3} x = 2000$

$\therefore \text{multiply both sides by }$$3$

$\therefore 102000 - 4000 x = 6000$

$\therefore - 4000 x = 6000 - 102000$

$\therefore - x = {\cancel{- 96000}}^{-} \frac{24}{\cancel{4000}} ^ 1$

$\therefore - x = - 24$

$\therefore \text{multiply both sides by }$$- 1$

$\therefore x = 24$

~~~~~~~~~~~

$\therefore \text{substitute}$ $x = 24$

$\therefore 34000 - \frac{4000}{\cancel{3}} ^ 1 \times {\cancel{24}}^{8} / 1 = 2000$

$\therefore 34000 - 32000 = 2000$

$\therefore 2000 = 2000$