EQUATIONS OF THE FORM
ax + b/CX + d=k
what does it mean
Answers
Answer:
The key to understanding algebra problems is understanding what your goal is, and understanding the moves you are allowed to do to get there.
The goal is to get this into a form x=stuff where stuff has no x in it. This is called ‘solving for x’.
As for what moves are allowed, you are allowed to do the same things to both sides. Remember, the equals sign means that whatever is on one side is the same number aas the other side. They can replace each other because they are the same thing!
So let's look at your equation.
7x+3=2x-4.
So our first goal is to pick a side and remove x.
The right side looks easiest for that. Look at it, there is 2x there. Wouldn't the easiest way be to just subtract 2x? If we do that to both sides, that will get all our x on one side.
7x+3=2x-4
7x-2x+3=2x-2x-4
5x+3=-4
Now usually we don't need write all that out, and can skip straight from the top to the bottom. That middle step is useful, however, if you are trying to figure out or show what exactly is happening.
5x+3=-4 is good but we still have work to do. we don't want that 3 there. Well we can subtract it from both sides and now it's no longer on the x side of x=stuff.
5x+3=-4
5x+3–3=-4–3
5x = -7
We are so much closer to our goal. Now we have it in the form (some x = stuff) which is pretty close. But we need to get ALL the stuff on one side. We can't subtract or add any xs cause that just puts x on the side we don't want x on. But… we CAN divide!
5x/5 = -7/5
x = -7/5
And now we have it in the form ‘x=stuff’ and we are done!
Step-by-step explanation:
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