Answer :
The equivalent expression is: 60x - 24 = 12(5x - 2)
Solution:
Given expression is:
60x - 24
We have to find the equivalent expression
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
Which is represented as:
a(b + c) = ab + bc
From given expression,
60x - 24
Find the greatest common factor of 60 and 24
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Then the greatest common factor is 12
Factor out 12 from given expression
[tex]60x - 24 = 12(5x-2)\\\\By\ distributive\ property\\\\12(5x - 2) = 12 \times 5x + 12 \times -2[/tex]
Thus equivalent expression is: 60x - 24 = 12(5x - 2)