# Need help for doing -8x - 24 = -29 1/3 (no examples in book)

#### raginblaze

##### New member
Need help for daughter...we don't understand this exercise. She is homeschooled and we have run across a problem that we know we are missing something small. However, we cannot figure this out. Her book isn't showing any examples for this particular problem...Any help is appreciated.

-8x-24= -29 1/3 can you please show step by step work?

thanks,

Mimi

#### jwpaine

##### Full Member
Re: Need help for daughter...we don't understand

you want to begin by isolating the variable x on one side. Start by adding 24 to either side, this will eliminate the -24 on the left hand side

-8x - 24 + 24= -29 + (1/3) + 24
-8x = -5 + (1/3)

Now divide both sides by -8 to get x by itself.

-8x/8 = (-5 + (1/3))/-8
x = (-16/3) / -8
x = 2/3

check by plugging (2/3) back into the original equation:
-8x - 24 = -29 + (1/3)
-8(2/3) - 24 = -88/3
(-16/3) - 24 = -88/3
-88/3 = -88/3

"What you do to one side, you must do to the other to keep the equation balanced"

Cheers,
John

#### stapel

##### Super Moderator
Staff member
Re: Need help for daughter...we don't understand

raginblaze said:
Her book isn't showing any examples for this particular problem.
How does the given exercise differ from the other linear equations she's solved? Has she only done so-called "one-step" equations before, where she needed only to multiply, divide, add, or subtract one value to finish the exercise? :?:

We'll be glad to try to find links to online lessons, to fill the "gap" in your curriculum, but it would help if we knew what that "gap" was. Thank you!

Eliz.