Question

A.Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.
B.Megan solved a similar equation below. Is Megan's solution correct? Explain why or why not.
3(2x − 4) = 5x − 1
6x − 12 = 5x − 1
11x − 12 = –1
11x = 11
x = 11

Answer 1

ok please distribute the -2 to the parentheses on the right side

Answer 2

(3x+-2)

Answer 3

\[\large 5x - 4 =-2(3x + 2) => 5x - 4 = -2(3x) + -2(2)\]

Answer 4

What is -2(3x) and -2(2) ?

Answer 5

^^ would that be the top piece for my answer cuz i have to put the steps on how i got the answer

Answer 6

Yes

Answer 7

ok

Answer 8

just finish going through how to get it and you will know what to put for your answer but don't worry about it yet

Answer 9

then what

Answer 10

ok

Answer 11

what next

Answer 12

What did you get after your distributed -2 to the numbers inside of the parenthesis?

Answer 13

-2(3x)=-6
-2(2)= -4

Answer 14

Since you multiplied -2 with 3x, it's -6x.

\[\large 5x - 4 = -6x -4 => 5x - 4 + 6x = -6x - 4 + 6x => 11x -4 = -4\]

Answer 15

\[11x -4 = -4\]

Answer 16

thats it?

Answer 17

And then solve for x.

Answer 18

like that

Answer 19

so far

Answer 20

its worth 10 points i really need to pass this question lol

Answer 21

anyone??

Answer 22

Instead of putting this symbol
\[=>\]
just press 'enter' and go to the line below.

also you need to solve for x.
\[\large 11x - 4 = -4 \]
\[\large 11x - 4 + 4 = -4 + 4\]
\[\large 11x = 0\]

this shows that x is 0

Answer 23

so that

Answer 24

what about part B