Question

Solve for x.

38(2x+16)−2=13

Enter your answer in the box

Answer 1

is 38 supposed to be a fraction or naw?

Answer 2

yes is it

Answer 3

So it is...

\(\large\bf{\frac{3}{8} (2x+16)-2=13}\) ?

Answer 4

^^

Answer 5

yes

Answer 6

Okay. First you need to distribute the \(\bf\frac{3}{8}\) into the parenthesis.

\(\Large\bf{\frac{3}{8} (2x+16) ~~\rightarrow ~~~~(\frac{3}{8} \times 2x)+(\frac{3}{8} \times 16)}\)

What does that simplify to?

Answer 7

thats what i dont know i need help figuring it out

Answer 8

I know im telling you how. You distribute the fraction into the parenthesis.

What does \(\large\bf{\frac{3}{8} \times 2x}\) equal?

Answer 9

4/16

Answer 10

Not quite.

\(\large\bf{\frac{3}{8} \times 2x ~~~ \rightarrow \color{red}{\frac{3 \times 2}{8}x}}\)

What does that simplify to?

Answer 11

6/8

Answer 12

correct. now this can be simplified further.

\(\large\bf{\frac{6}{8} \rightarrow \frac{3}{4}}\) by division of 2.

Now we distribute the fraction to 16.

\(\Large\bf{\frac{3}{8} \times 16 \rightarrow \frac{3 \times 16}{8}}\)

Answer 13

48/8

Answer 14

Okie now simplify that

Answer 15

6

Answer 16

Correct. So our distributed parenthesis is simplified to:

\(\Large\bf{\frac{3}{8}(2x+16) \rightarrow \color{red}{\frac{3}{4}x+6}}\)

So we have:

\(\Large\bf{\frac{3}{4}x+6-2=13}\)

Got it?

Answer 17

yayyyyy thank you so so so much

Answer 18

not done yet

Answer 19

still have to simplify further

Answer 20

ok what do i do now

Answer 21

Now you need to subtract 6 and 2.

\(\Large\bf{\frac{3}{4}x+\color{red}{6-2} ~~\rightarrow \frac{3}{4}+4=13}\)

Answer 22

3/4x*

Answer 23

4

Answer 24

Now you need to get the variable to one side. You see that `4` is being added to `3/4x` this means you need to `SUBTRACT` `4` from both sides to get it to one side.

\(\Large\bf{\frac{3}{4}x + 4 \color{red}{-4} = 13 \color {red}{-4}}\)

What does that simplify to?

Answer 25

9

Answer 26

Correct.

So we now have:

\(\Large\bf{\frac{3}{4}x=9}\)

Now you need to apply the fraction to the other side. So you divide the fraction to get x to itself.

\(\huge\bf{\frac{\frac{3}{4}}{\color{red}{\frac{3}{4}}}x=\frac{9}{\color{red}{\frac{3}{4}}}}\)

What does x equal?

Answer 27

ummmm

Answer 28

To simplify by fraction you follow by: \(\large\bf{\frac{a}{\frac{b}{c}}=\frac{a \times c}{b}}\)

So:

\(\huge\bf{x=\frac{9 \times 4}{3}}\)

Answer 29

32/3?

Answer 30

12

Answer 31

x=12

Answer 32

Correct! So `x=12` cx

Answer 33

nice job!

Answer 34

will you be my tutor

Answer 35

cx uh well if you ever need help just dm me >.< i actually have to go right now ;-;

Answer 36

ok thank you