Answer:
12 (5x - 2)
Step-by-step explanation:
First to know if we can get a common factor we have to find a number by which it is divisible on 24 and 60
first we will try with 2
60/2 = 30 both are divisible by 2
24 /2 = 12
then we will take common factor 2
60x - 24
we multiply and divide by 2
2 (60x - 24)/2
we distribute the 2
2(60x/2 - 24/2)
and solve
2(30x - 12)
Now we continue with the same procedure until there is no more number in common to divide
we will try with 2
30/2 = 15 both are divisible by 2
12 /2 = 6
then we will take common factor 2
2(30x - 12)
we multiply and divide by 2
2*2 (30x - 12)/2
we distribute the 2
4(30x/2 - 12/2)
and solve
4(15x - 6)
continue with the same procedure
we will try with 2
15/2 = X only one is divisible by 2
6 /2 = 3
we will try with 3
15/3 = 5 both are divisible by 3
6 /3 = 2
then we will take common factor 3
4(15x - 6)
we multiply and divide by 3
4*3 (15x - 6)/3
we distribute the 3
12(30x/3 - 6/3)
and solve
12(5x - 2)
there is no number other than 1 by which we can divide 5 and 2
12(5x - 2)
