# If 9x + 2a = 3a-4x, then what does x equal?

Nov 27, 2016

$x = \frac{a}{13}$

#### Explanation:

To solve this problem you must perform the necessary math to isolate the $x$ terms on one side of the equation and the $a$ terms on the other side of the equation while keeping the equation balanced:

$9 x + 2 a - 2 a + 4 x = 3 a - 4 x - 2 a + 4 x$

$9 x + 4 x + 2 a - 2 a = 3 a - 2 a - 4 x + 4 x$

$13 x + 0 = 1 a + 0$

$13 x = a$

$\frac{13 x}{13} = \frac{a}{13}$

$\frac{\cancel{13} x}{\cancel{13}} = \frac{a}{13}$

$x = \frac{a}{13}$