Question

I ONLY NEED HELP WITH PART B

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)

Answer 1

Hi there

5x+3(x-5)=6x+2x-15

Simplify both sides of the equation

5x+3(x-5)=6x+2x-15

Distribute

5x+3x-15=6x+2x-15

Combine like terms

(5x+3x)-15= (6x+2x)-15

8x-15=8x-15

Subtract 8x from both sides

8x-15-8x=8x-15-8x

-15=-15

Add 15 to both sides

-15+15=-15+15

0=0

All real numbers are solutions

To solve this equation I used " The distributive property"

I hope that's help !

Good night !