6+x/2=4

Question

6+x/2=4

jim_thompson5910 · Answer

Is the equation 

$$\large 6 + \frac{x}{2} = 4$$

OR

is the equation 

$$\large \frac{6+x}{2} = 4$$

??

anonymous · Answer

the top one you have down

jim_thompson5910 · Answer

so this one

$$\large 6 + \frac{x}{2} = 4$$

right?

anonymous · Answer

yes!

anonymous · Answer

:)

jim_thompson5910 · Answer

ok thanks just checking

jim_thompson5910 · Answer

First you subtract 6 from both sides

After that, you multiply both sides by 2 to fully isolate x


$$\large 6 + \frac{x}{2} = 4$$

$$\large 6+\frac{x}{2}-6 = 4-6$$

$$\large \frac{x}{2} = -2$$

$$\large 2*\frac{x}{2} = 2*(-2)$$

$$\large x = -4$$

anonymous · Answer

Thank you so much. Would you be willing to help with some more problems?

jim_thompson5910 · Answer

sure just a few more though

anonymous · Answer

we only have four left

jim_thompson5910 · Answer

ok 4 is definitely doable

anonymous · Answer

yay thank you! 
9+n/4=15

jim_thompson5910 · Answer

the equation is 

$$\large 9 + \frac{n}{4} = 15$$

right?

jim_thompson5910 · Answer

if so, then go ahead and use the steps I've shown above and try it out for yourself and see what you get

anonymous · Answer

I did, I got -9 is that right?

jim_thompson5910 · Answer

first you subtracted 9 from both sides right?

anonymous · Answer

obviously, I'm dumb.

jim_thompson5910 · Answer

you are NOT dumb, so get that silly idea out of your head

jim_thompson5910 · Answer

if you subtract 9 from both sides, you get

$$\large 9 + \frac{n}{4} = 15$$ 

$$\large 9 + \frac{n}{4} - 9 = 15 - 9$$ 

$$\large \frac{n}{4} = 6$$ 

what's next?

jim_thompson5910 · Answer

if you're not sure, then what undoes division? what operation is the opposite of division?

anonymous · Answer

so 6x4= 24 meaning n=24?

jim_thompson5910 · Answer

good, you multiply both sides by 4 to isolate n

so n = 24

anonymous · Answer

Okay, thank you for helping us.

jim_thompson5910 · Answer

sure thing, did you need any more help?

anonymous · Answer

yes, I have one that is  -7+4r=-15  and then one that is m/16-9=-8

jim_thompson5910 · Answer

ok let's start with  -7+4r=-15

jim_thompson5910 · Answer

what's first step?

anonymous · Answer

subtract 7 from both sides?

jim_thompson5910 · Answer

close, but 

-7+4r

is really the same as 

4r - 7

jim_thompson5910 · Answer

so how do you undo that -7?

jim_thompson5910 · Answer

what undoes subtraction?

anonymous · Answer

addition?

jim_thompson5910 · Answer

so you need to add 7 to both sides

jim_thompson5910 · Answer

-7+4r=-15

4r - 7 = -15

4r - 7 + 7 = -15 + 7 ... add 7 to both sides

4r= -8 ... Combine like terms.


what's next?

jim_thompson5910 · Answer

notice how on the left side the -7 and the +7 add to this

-7 + 7 = 0

and that 0 goes away

jim_thompson5910 · Answer

so that's why we're adding 7 to both sides