An equation is shown below:
5x + 3(x – 5) = 6x + 2x – 15
part a: solve the equation and write the number of solutions. show all the steps. (6 points)
part b: name one property you used to solve this equation. (4 points)

Part A:5x+3(x-5)=6x+2x-15

5x+3x-15=8x-15

+15 +15

5x+3x=8x

8x=8x

SO there’s an infinite amount of solutions.

Part b: i used the distributive property

Part A:

5x+3(x−5)=6x+2x−15

Distribute

5x+3x + 3(−5) = 6x + 2x − 15

5x + 3x + −15 = 6x + 2x − 15

Combine Like Terms

(5x + 3x) − 15 = 6x + 2x + −15  

8x + −15 = 8x + −15  

8x − 15 =8x − 15

Subtract 15 from both sides.

8x = 8x

There are infinite  answers.

Part B:

I used the distributive property.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

a is the right answer