Question

Prove, in complete sentences, whether the left expression is equal to the right expression and discuss which property applies.

2(x − 3) <-> 2x − 6

I know that they're equal (or I think anyway), but I'm not sure what it means by what properite applies.

Answer 1

http://walnuthillseagles.com/pdfs/Mathematics-Properties.pdf

Answer 2

a(b+c) = ab+ac

Answer 3

3/(2x) + x/(2x - 6) = 3/(2x) + x[2(x - 3)] = [3(x - 3) + x(x)]/[2x(x - 3)] = (3x - 9 + x^2)/[2x(x - 3)] = (x^2 + 3x - 9)/[2x(x - 3)

Answer 4

that is distributive

Answer 5

yea there equal

Answer 6

yea like ivette said, the left side you distribute, times 2 to everything.

Answer 7

hen they say which properties apply your suppose to put distribuive property

Answer 8

when*

Answer 9

distributive property*

Answer 10

you understand??

Answer 11

Do you want a REALLY long explanation?

Answer 12

this will help

http://www.geteasysolution.com/2(x-3)=2x-6

Answer 13

Because:
Solve for x:
2 (x-3) = 0
Divide both sides by a constant to simplify the equation.
Divide both sides of 2 (x-3) = 0 by 2:
(2 (x-3))/2 = 0/2
Any nonzero number divided by itself is one.
2/2 = 1:
x-3 = 0/2
Any number times zero is zero.
0/2 = 0:
x-3 = 0
Isolate terms with x to the left hand side.
Add 3 to both sides:
x+(3-3) = 3
Look for two terms that sum to zero.
3-3 = 0:
Answer: |
| x = 3

^ That's the first equation, and this is the second equation:

Solve for x:
2 (x-3) = 0
Divide both sides by a constant to simplify the equation.
Divide both sides of 2 (x-3) = 0 by 2:
(2 (x-3))/2 = 0/2
Any nonzero number divided by itself is one.
2/2 = 1:
x-3 = 0/2
Any number times zero is zero.
0/2 = 0:
x-3 = 0
Isolate terms with x to the left hand side.
Add 3 to both sides:
x+(3-3) = 3
Look for two terms that sum to zero.
3-3 = 0:
Answer: |
| x = 3

Just explain both are processed the same way, with the same solution.

Answer 14

omg!

Answer 15

Ok, thanks everyone for all of your great answers. I think I have it now.

How do you think this sounds?

Prove, in complete sentences, whether the left expression is equal to the right expression and discuss which property applies.

2(x − 3) <-> 2x − 6

The left expression is equal to the right expression, because 2(x - 3) = 2x - 6. Therefore, 2(x - 3) <-> 2x - 6.

The distributive property applies here.

Answer 16

perfect

Answer 17

You got it :)

Answer 18

Okay, thanks!

Answer 19

Oh, one more question, 6(2r − 5) + 2r simplified would be 14 r − 30, right?

Answer 20

Starting Problem:
6(2r - 5) + 2r= ?

Step 1: Multiply
multiply the 6, 6(2r - 5) + 2r
= (6 x 2r - 6 x 5) + 2r
= (12r - 30) + 2r

Step 2: Combine like terms
= 12r - 30 + 2r
= 12r +2r - 30
= 14r - 30
Solution:
14r - 30

Answer 21

does that help?

Answer 22

Yes! Thank you! :)

Answer 23

great