Question

Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process.
Sam solved a similar equation below. Is Sam's solution correct? Explain why or why not.
5x − 1 = 2(x + 4)
5x − 1 = 2x + 8
7x − 1 = 8
7x = 7
x = 1

Answer 1

@Shadow

Answer 2

@TheSmartOne

Answer 3

Do you see something wrong with his work

Answer 4

7x − 1 = 8
7x = 7
x = 1

Answer 5

Good catch, I didn't see that one!
Yeah they didn't add the 1 properly on both sides

But look at them line before that too
There's one more mistake they started off with
Hint: 2x

Answer 6

2(x + 4)
2x + 8

Answer 7

No, when they're supposed to subtract the 2x

Answer 8

i just noticed were doing the second part

Answer 9

Oh, totally forgot there was a question before that

Answer 10

Do we really have to justify the process and explain our steps

Answer 11

yes i think so cause it says to

Answer 12

That's too much work, but solve it out first

Do the distributing and isolating the variables

Answer 13

srry im trying to think how i do this

Answer 14

Not much to think about

3(2x-5)

Distribute the 3

Answer 15

3(2x-5)
turns into
6x-5?

Answer 16

Uh no

a(b+c) = ab + ac

Answer 17

Likewise
a(b-c) = ab - ac

Answer 18

so 3*2-5*3

Answer 19

You can't forget about the x, which is a variable

Answer 20

so 3*2x-5*3

Answer 21

u there

Answer 22

Yes, simplify that

Answer 23

i know where he messed up and what should have been done. I don't know what you are on with tso

Answer 24

ok ben and TSO if im correct it =3

Answer 25

All yours then Ben

Answer 26

i know how but i can't without giving the answer

Answer 27

i know how but i can't without giving the answer

Answer 28

Also there were two questions

Answer 29

yeah i have both. its on my doc

Answer 30

so ben ami right is it 3

Answer 31

yes

Answer 32

so Part A:
Step 1:4x + 7 = 3(2x − 5)

Step 2: 3(2x-5) Distribute the 3

Step 3: 3*2x-5*3

Step 4: x=3 simplify

Answer 33

am i correct so far

Answer 34

what?????????????????????

Answer 35

the answer is 3 for both equations

Answer 36

im sooooooo confused

Answer 37

Question 1

Answer 38

A. Given the equation 4x + 7 = 3(2x − 5), solve for the variable. 
4x + 7 = 3(2x − 5)
4x + 7 = 6x - 15
4x - 6x = -15 - 7
-2x = -22
x = 11

Answer 39

Question 2

Answer 40

5x − 1 = 2(x + 4)
5x − 1 = 2x + 8
5x − 2x = 8 + 1
3x = 9
x = 3

Sam messed up at line 2

Answer 41

thx but im still confused TSO what were u trying to show me cause what u had is soooooooo different than what ben has

Answer 42

I was going step by step, he just threw all the steps