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Papessa [141]
3 years ago
9

Justify each step of the solution by stating the property that was used to get to each step.

Mathematics
1 answer:
trapecia [35]3 years ago
3 0

For this case we have the following expression:

4.5 (8-x) + 36 = 102-2.5 (3x + 24)

Applying distributive property to the terms within parentheses we have:

36-4.5x + 36 = 102-7.5x-60

We add similar terms on both sides of equality considering that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

72-4.5x = 42-7.5x

We add 7.5x to both sides of equality:

72 + 3x = 42

We subtract 72 from both sides of equality:

3x = -30

We divide between 3 on both sides of equality

x = -10

ANswer:

Distributive property

Add similar terms

Equality property of the sum

Equality subtraction property

Equality property of the division

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