Question

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Answer 1

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

$60x - 24 = 12(5x-2)\\\\By\ distributive\ property\\\\12(5x - 2) = 12 \times 5x + 12 \times -2$

Thus equivalent expression is: 60x - 24 = 12(5x - 2)