Question

I need help with this eighth grade algebra, it's literally so hard to do .

Answer 1

What's up

Answer 2

Okay , so it's basic algebra . I guess they're trying to get us ready for next year but it's extremely hard for me to understand no matter how much I try and pay attention or give my full on attention to a problem.

Answer 3

What is the problem

Answer 4

Okay the problem is , 4/9 + 4(x - 1 ) = 28/9 - ( x - 7x ) + 1 .

Answer 5

Sorry for the wait, I'll help you

Answer 6

It's completely fine, i'm lucky enough to be receiving your help !

Answer 7

Firstly, you need to add the fractions

Answer 8

okay, so like 4/9 + 28/9 ?

Answer 9

Hi, and welcome to QuestionCove.

Apologies for the somewhat late response, it looked like this question had been answered already.
The suggestion from nart is a good start--you want to combine "like terms" in order to get all the variables together and all the plain numbers together.
Another rule you should keep in mind with algebra is: Anything you do to one side of the equation, you also need to do to the other side, in order to not change the total value of the equation (in other words, keep things balanced)

So, following up on nart's suggestion to combine the fractions, we could take:
4/9 + 4(x - 1 ) = 28/9 - ( x - 7x ) + 1
And subtract 4/9 from both sides:
4/9 - 4/9 + 4(x - 1 ) = 28/9 - 4/9 - ( x - 7x ) + 1
To get:
4(x - 1) = 24/9 - (x - 7x) + 1

Now we've gotten one step closer to solving for "x." Eventually, we can rearrange the equation to be in the form "x = _____", which will simply tell us what x is equal to
As a next step to get closer to this result, we can try combining the variable "x" terms together. So, picking up where we left off:
4(x - 1) = 24/9 - (x - 7x) + 1
Let's use distribution with that 4 on the left side to get:
4x - 4 = 24/9 - (x - 7x) + 1
We can also do subtraction inside the parentheses on the right side:
4x - 4 = 24/9 - 6x + 1
Next, let's try adding 4 to both sides of the equation to get rid of the -4 on the left side:
4x - 4 + 4 = 24/9 - 6x + 1 + 4
Giving us:
4x = 24/9 -6x + 5
Likewise, we can add 6x to both sides in order to get rid of the -6x on the right side:
4x + 6x = 24/9 -6x + 6x + 5
To get:
10x = 24/9 + 5
Let's convert 5 on the right side to 45/9 so we can do fraction addition:
10x = 24/9 + 45/9
Or:
10x = 69/9
And finally we divide both sides by 10 in order to get x by itself:
10x/10 = (69/9)/10
For our final result:
x = 69/90
(which can be simplified, if you want, from 69/90 into 23/30)

I hope this helps illustrate the step-by-step method of algebra! When solving these kind of problems, try to: Combine like terms; Balance the equation with equal operations on both sides; Take the variable by itself on one side of the equation

Answer 10

thank you smmmm