(pre geometry?)
3x+2 2x+1 5x-1
------- + ------- = -------
3 2 6

Question

(pre geometry?) 
3x+2     2x+1      5x-1
------- + ------- =  -------
3            2              6

gelphielvr · Answer

I got x = 2 but I was told it was wrong but I don't know where i did my mistake

Spectrum · Answer

huh? do you have an image

gelphielvr · Answer

@spectrum wrote:

huh? do you have an image

it was on paper so no - the ---- is supposed to be a fraction cause I didn't know how else to illustrate it

Spectrum · Answer

so does it looks somewhat like this? (Give me a minute to type it)

Spectrum · Answer

$$\frac{3x+2}{3}+\frac{2x+1}{2}=\frac{5x-1}{6}$$

gelphielvr · Answer

yes exactly like that sorry I didn't know how to make it look like that.

Spectrum · Answer

$$6*(\frac{3x+2}{3}+\frac{2x+1}{2})=6*(\frac{5x-1}{6})$$

Spectrum · Answer

we do this bc 6 is the least common multiple of the denominators (6), since there's a 6, 3, ad 2.

Spectrum · Answer

for the right side, we are not changing it, since it was ____ over 6, multiplying it by 6 just canceled out the fraction.

Spectrum · Answer

$$\frac{6}{3}*(3x+2)$$

Spectrum · Answer

@spectrum wrote:

$$6*(\frac{3x+2}{3}+\frac{2x+1}{2})=6*(\frac{5x-1}{6})$$

we basically just moved the 3 out from the $$\frac{3x+2}{3}$$ and put it below the 6

Spectrum · Answer

@spectrum wrote:

$$\frac{6}{3}*(3x+2)$$

which becomes $$2*(3x+2)$$

Spectrum · Answer

and then doing the other side we get $$3*(3x+1)$$

Spectrum · Answer

then $$2*(3x+2)+3*(3x+1)=5x-1$$

Spectrum · Answer

alright, now we do the distributive property.

Spectrum · Answer

$$6x+4+6x+3=5x-1$$

Spectrum · Answer

combine like terms to get: $$12x+7=5x-1$$

Spectrum · Answer

move the 5x over, you want the variables to be on the left side. $$12x-5x+7=5x-5x-1$$

Spectrum · Answer

@spectrum wrote:

move the 5x over, you want the variables to be on the left side. $$12x-5x+7=5x-5x-1$$

$$7x+7=-1$$

Spectrum · Answer

subtract 7 from both sides since you need a number on the right side, this gives you $$7x=-8$$

Spectrum · Answer

and divide both sides by 7 so you get the x alone $$x=\frac{-8}{7}$$

Spectrum · Answer

so that's your answer. $$x=\frac{-8}{7}$$