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solong [7]
3 years ago
9

How does the distributive property work

Mathematics
1 answer:
Basile [38]3 years ago
7 0
Ok, lets start with the basics:

the distibutive property is very simple once you get used to it!

distibutive just means when you both multiply and add in the same problem( mostly with Peranthisys.

lets start with a basic problem:

5(3+4)

because you have the five bumped up against the peranthysys, you "distribute" the problem (you multiply 5 by the numbers present.

for example, once you multiply, you should get this:

5(3+4)

15+20

all i did was multiply the numbers inside! now the Peranthisys disapear!

now all you do is add!

15+20=35

35 is your answer.

NOTE:This is just simple distributing, once variables get involved, it changes a little...


Hope this helps!!!
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Let's solve your equation step-by-step.

2(x+4)=−5x+1

Step 1: Simplify both sides of the equation.

2(x+4)=−5x+1

(2)(x)+(2)(4)=−5x+1(Distribute)

2x+8=−5x+1

Step 2: Add 5x to both sides.

2x+8+5x=−5x+1+5x

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Step 3: Subtract 8 from both sides.

7x+8−8=1−8

7x=−7

Step 4: Divide both sides by 7.

7x

7

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7

x=−1

Answer:

x=−1

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