Question

An equation is shown below:

6(2x – 11) + 15 = 3x + 12

Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)

Part B: What value of x makes the equation true? (4 points)

Answer 1

Ok so do you know how to solve equations?

Answer 2

kind of

Answer 3

Ok show me what you know :)

Answer 4

Im just really stuck on this problem and i dont even know where to begin

Answer 5

Think of Order of operations :)

Answer 6

Scratch that >_< first distribute.

Answer 7

Well im guessing we have to start by solving whats inside the paraenthensis

Answer 8

oh never mid

Answer 9

You figured it out?

Answer 10

no i still need help :)

Answer 11

oh ok :)
1) Distribute

Answer 12

so im guessing we had 6 and 15 together?

Answer 13

add

Answer 14

no no no we want to MULTIPLY!! :D
\[6(2x – 11) + 15 = 3x + 12 \]
Think:
\[6\times2x=?\]
\[6\times-11=?\]

Answer 15

6 x -11 = -66 and the other one equals 12x

Answer 16

yes! :D now we have....
\[12x-66+15=3x+12\]
Combine like terms :)
-66+15=?

Answer 17

-51

Answer 18

good
\[12x−51=3x+12\]
now combine like terms! (this is the fun part!)
12-3=?
12+51=?

Answer 19

ok so it woud euqual 9x= -39

Answer 20

nooo....
12+51=?

Answer 21

63

Answer 22

good what is 63/9?

Answer 23

7

Answer 24

1 )Expand
12x−66+15=3x+12

2 )Simplify 12x−66+15 to 12x−51
12x−51=3x+12

3 )Add 51 to both sides
12x=3x+12+51

4 )Simplify 3x+12+51 to 3x+63
12x=3x+63

5) Subtract 3x from both sides
12x−3x=63

6) Simplify 12x−3x to 9x
9x=63

7 )Divide both sides by 9
x=639

8) Simplify 63/9 to 7

x=7

Answer 25

That answers part A and part B also good job! :D

Answer 26

Thank you so much!

Answer 27

No problem!
Also welcome to openstudy!! :D