# How do you solve \frac { ( x - 4) } { 3} = \frac { 9} { 12}?

Feb 21, 2018

#### Answer:

$x = \frac{25}{4}$

#### Explanation:

Firstly, multiply both sides by $12$.

$\frac{12 \left(x - 4\right)}{3} = 9$

$\frac{\cancel{12} \left(x - 4\right)}{\cancel{3}} = 9$

$4 \left(x - 4\right) = 9$

Divide $4$ on both sides.

$x - 4 = \frac{9}{4}$

And finally, add 4 to both sides.

$x = \frac{9}{4} + 4$

If you wish so, you can make them have the same denominator :

$x = \frac{9}{4} + \frac{4}{1}$

$x = \frac{9}{4} + \frac{16}{4}$

color(blue)(x=25/4

I hope that helps!

Feb 21, 2018

#### Answer:

$x = \frac{25}{4}$

#### Explanation:

$\frac{x - 4}{3} = \frac{9}{12}$

Cross multiply

$\left(x - 4\right) \left(12\right) = 9 \cdot 3$

Distributive property

$\left(12\right) \left(x\right) + \left(12\right) \left(- 4\right) = 27$

$12 x - 48 = 27$

$12 x = 27 + 48$

$12 x = 75$

$x = \frac{75}{12}$

$x = \frac{25}{4}$