Question

An equation is shown below:

8x + 2(x – 7) = 7x + 3x – 14

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.

Answer 1

8x+2(x-7)=7x+3x-14

Answer 2

ok first lets get rid of the parenthesis by distributing the 2

Answer 3

8x+2x-14=7x+3x-14

Answer 4

now we add all the like terms

Answer 5

10x-14=10x-14

Answer 6

now we isolate the variable x

Answer 7

wait....

Answer 8

how are we gonna solve for x?

Answer 9

the equation is equal on both sides....

Answer 10

ill just end up with 0=-28...which obviously isnt true...

Answer 11

but for part b, it would be the distributive property...

Answer 12

@MilaHutcherson

Answer 13

thank you @omarbirjas

Answer 14

what...i didnt answer it tho....

Answer 15

for part b, continue

Answer 16

yea for part a you cant find x, but you can only simplify to 10x-14=10x-14

Answer 17

@omarbirjas Wait how many solutions are there

Answer 18

none....you cant find x in this equation....

Answer 19

okay