How do you solve \frac { ( x - 4) } { 3} = \frac { 9} { 12}(x4)3=912?

2 Answers
Feb 21, 2018

x = 25/4x=254

Explanation:

Firstly, multiply both sides by 1212.

(12(x-4))/3 = 912(x4)3=9

(cancel(12)(x-4))/cancel(3) = 9

4(x-4) = 9

Divide 4 on both sides.

x-4 = 9/4

And finally, add 4 to both sides.

x= 9/4 + 4

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

x = 9/4 + 4/1

x= 9/4 + 16/4

color(blue)(x=25/4

I hope that helps!

Feb 21, 2018

x=25/4

Explanation:

(x-4)/3=9/12

Cross multiply

(x-4)(12)=9*3

Distributive property

(12)(x)+(12)(-4)=27

12x-48=27

12x=27+48

12x=75

x=75/12

x=25/4