Question

Solve for x. 2 1/2x−3/4(2x+5)=3/8

Answer 1

@563blackghost pleaseeeeeeeeeeee Your great at this stuff ;-;

Answer 2

You're*

Answer 3

Is that by the power?

Answer 4

^ Does that make it easier to read?

Answer 5

much better :3

Answer 6

First yew need to distribute the \(\bf{-\frac{3}{4}}\) into the paranthesis.

\(\large\bf{-\frac{3}{4}(2x+5) \rightarrow (2x \times \color{red}{-\frac{3}{4}})+(5 \times \color{red}{-\frac{3}{4}})}\)

What does that simplify to?

Answer 7

Simplifying -3/4?

Answer 8

0.75 but with a negative sign right?

Answer 9

ye though its best to keep in fraction form

Answer 10

its like 0.75 = 75/100 = 3/4

Answer 11

mhm just simplify.

\(\large\bf{-\frac{3}{4} \times 2x =?}\)

Answer 12

er -3x/2

Answer 13

( ^ I suck at this.. ^^)

Answer 14

No u don’t. Ur doing fine

Answer 15

lol thanks

Answer 16

you did it right cx

Answer 17

@563blackghost miss ghost ? XD

Answer 18

xc

Answer 19

Now simplify the next part?

\(\large\bf{5 \times -\frac{3}{4}}\)

Answer 20

\[-\frac{ 3 }{ 2}x\]
Actually

Answer 21

3.75?

Answer 22

And yes thanks silver xD

Answer 23

well \(\large\bf{-\frac{3}{2}x \rightarrow -\frac{3x}{2}}\)

Answer 24

if you were to simplify the fraction...@silvernight269

Answer 25

-1.5x

Answer 26

Well -3.75 but correct.

You want to keep this as a fraction (due to your answers being in fraction form).

So you have...

\(\large\bf{-\frac{3}{2}x -3\frac{3}{4}}\)

So you have now..

\(\large\bf{2 \frac{1}{2}x -\frac{3}{2}x-3\frac{3}{4}=\frac{3}{8}}\)

Now combine like terms...

\(\large\bf{2\frac{1}{2}x-\frac{3}{2}x =?}\)

Answer 27

How do I do that.. -im soo bad at this type of mathhhh-

Answer 28

You can convert the fraction into improper.

\(\large\bf{2\frac{1}{2} \rightarrow \frac{5}{2}}\)

\(\Large\bf{\frac{5}{2}x-\frac{3}{2}x=?}\)

Answer 29

Just make it into a fraction. Not improper fraction

Answer 30

\(\Large\bf{\frac{5}{2}x-\frac{3}{2}x ~~\rightarrow~~\frac{5-3}{2}x=?}\)

just incase you still dun understand.

Answer 31

xD Yeah I might have missed this class.. so I'll try my best to understand -takes out paper- ONWARD

Answer 32

5-3=2 so 2/2x?

Answer 33

Correct. Though simplify further...

\(\large\bf{\frac{2}{2} = 1}\)

So...

\(\large\bf{\frac{5}{2}x-\frac{3}{2}x=\color{red}{x}}\)

So you now have...

\(\Large\bf{x-3\frac{3}{4}=\frac{3}{8}}\)

Follow?

Answer 34

Is my answer 3/8? Or are we still going through

Answer 35

We still going, we need to simplify down so that x is alone.

Answer 36

Oof..

Answer 37

but we just need about 3 more steps then we are done cx

Answer 38

Now you see that on the left side the fraction \(\large\bf{-3\frac{3}{4}}\) has a denominator of 4. And the fraction on the right; \(\large\bf{\frac{3}{8}}\), has a denominator of 8. In order to get \(\large\bf{-3\frac{3}{4}}\) to the right we need to have like denominators. So we need to first change \(\large\bf{-3\frac{3}{4}}\) into an improper fraction.

So how would you change \(\large\bf{-3\frac{3}{4}}\) into improper?

Answer 39

uhhhhhh........

Answer 40

divide?

Answer 41

Changing into improper fraction you would multiply the whole number with the denominator and then add it with the numerator.

Example:

Answer 42

So how would u do it?

Changing \(\Large\bf{-3\frac{3}{4}}\)

Answer 43

OH KFC Right! KCF thingy

Answer 44

It's.. uh 5/8 ....

Answer 45

?

Answer 46

-15/4

Answer 47

Correct.

Now we need to have it a denominator of 8. So we follow by:

\(\Large\bf{-\frac{15}{4} \times \frac{2}{2}=\frac{?}{8}}\)

Answer 48

Would I do 15 like -15 or just keep it positive? and would I do 2x2 on the top and then 2x2 x 15?

Answer 49

keep with negative.

\(\Large\bf{\frac{-15 \times 2}{4 \times 2} = \frac{?}{8}}\)

Answer 50

-30/8

Answer 51

Gud. So we now have.

\(\Large\bf{x-\frac{30}{8}=\frac{3}{8}}\)

Now we bring \(\large\bf{-\frac{30}{8}}\) to the right side by `ADDING` (since it is being subtracted with x).

\(\Large\bf{x=\frac{3}{8} + \color{red}{\frac{30}{8}}}\)

Simplify.

Answer 52

33/16

Answer 53

And then I simplify that?

Answer 54

keep the denominator the same

Answer 55

33/8*

Answer 56

when adding fraction you only add the numerator, not the denominator

Answer 57

Ye right, now you just need to convert to mixed fraction. Can you do that?

Answer 58

bleh this is so much work but OKI XD

Answer 59

ish da last step cx

Answer 60

sooo 3 3/8?

Answer 61

mm not quite.

Answer 62

4 1/8?

Answer 63

Correct!

Answer 64

So thats your answer cx

Answer 65

Finally XD I wish it was day time so I could've finished this faster and not waste your time

Answer 66

its okie cx