Question

Odell tried to solve the equation 6(x+7)=4x-3 . He recorded the following steps.
6(x+7)=4x-3
6x=4x-10
2x=-10
x=-5
When Odell checked his solution it did not work. What was his mistake? Explain. Show the correct solution.

Answer 1

he didnt multiply 6(x+7) right. should have been 6x+42

Answer 2

yeah and i need to show the correct solution. can you help me do that? i tried to do it and it didnt work out...

Answer 3

oh okay

Answer 4

for some reason i got that x was 22.5

Answer 5

6(x+7)=4x-3
6x+42=4x-3
2x=-45
x=-45/2

Answer 6

yeah and that equals -45/2 which is -22.5

Answer 7

how do i know when to leave it as a fraction?

Answer 8

well how do they ask you to leave your answer as?

Answer 9

i dont know :/

Answer 10

leave it as both to be safe. -45/2 and -22.5

Answer 11

and how do i check the solution?

Answer 12

plug in -22.5 for x and see if both sides are the same

Answer 13

i tried that already , didnt turn out.

Answer 14

i got it! if you subsitude the fraction -45/2 for x, its going to turn out. thank you <3

Answer 15

hmmm okay
6(-22.5+7)=4(-22.5)-3
6(15.5)=-90-3
93=93

Answer 16

yeah. you can use the fraction or the decimal and they will come out as the same answer

Answer 17

oh okay :D thanks