2/5(x+1)=g, Solve for x.

Question

jim_thompson5910 · Answer

The first step I would do is multiply both sides by 5 to get

2(x+1) = 5g

jim_thompson5910 · Answer

What's next?

anonymous · Answer

@jim_thompson5910 Hmmmm Divide by 5g??

jim_thompson5910 · Answer

The next step is to distribute

2(x+1) = 5g

2x+2 = 5g

jim_thompson5910 · Answer

Then what?

anonymous · Answer

@jim_thompson5910 Oh ok! Oops. Divide by 2?? I think??

jim_thompson5910 · Answer

close, you subtract 2 from both sides first

jim_thompson5910 · Answer

2(x+1) = 5g 

2x+2 = 5g

2x+2-2 = 5g-2

2x = 5g-2

jim_thompson5910 · Answer

then you divide both sides by 2

anonymous · Answer

@jim_thompson5910 Ohhh then you'd get 5g/2 - 1?

jim_thompson5910 · Answer

more like $$\Large x = \frac{5g-2}{2}$$

jim_thompson5910 · Answer

not sure how you got that

jim_thompson5910 · Answer

oh you can break up the fraction and simplify 

$$\Large x = \frac{5g-2}{2}$$

$$\Large x = \frac{5g}{2}-\frac{2}{2}$$

$$\Large x = \frac{5g}{2}-1$$

jim_thompson5910 · Answer

so I see how you got that now

jim_thompson5910 · Answer

so either

$$\Large x = \frac{5g-2}{2}$$

or 

$$\Large x = \frac{5g}{2}-1$$

work, I prefer the first one, but it doesn't matter

anonymous · Answer

@jim_thompson5910 Thanks :) I understand. So they both work. Yeah I'd probably prefer the first one now that I think about it for future problems, kinda gets a little confusing. Thanks again!

jim_thompson5910 · Answer

which part is confusing you?

anonymous · Answer

@jim_thompson5910 Nothing its ok! I got it now, just I think it in the future I'll probably do the first answer like you did, and not make it a little more complicated like my answer was

jim_thompson5910 · Answer

ah i gotcha

anonymous · Answer

Thanks again :)

jim_thompson5910 · Answer

sure thing