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- anonymous

Match each equation in the left column with its solution in the right column.
Term:
1. 8(x + 5) = 48
2. 5(2x – 3) = 5
3. 4(x – 8) = 4
4. 3(3x + 1) = 30
Definition:
A) x = 1
B) x = 3
C) x = 2
D) x = 9
~Please help and explain if you can. I just can't seem to wrap my head around how to do it.~

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- anonymous

- chestercat

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- anonymous

Just solve each equation and then match

- anonymous

That's my problem. I can never get the equation right. I always mess up somewhere in the process.

- anonymous

Or substitute each answer instead of x for example:
8(1+5)=48 8+40=48
So x=1
and so on

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- anonymous

Okay.. So how does (1+5) become 40? That's the part I don't understand.

- anonymous

Since you have bracket like this: 8(1+5)
You multiply the 8 with the numbers in the bracket
8*1=8 and 8*5=40
So since you have the numbers 8 and 40 which are both positive you will get+8+40 which is equal to +48

- anonymous

Consider this rule so it can help you:
\[a(b+c)=ab+ac\]

- anonymous

You just the multiply the outside number with the numbers in the bracket
Till here did you understand?

- anonymous

Oh. Okay that makes since. Can you help me with second one? Just so I can make sure I've got it?

- anonymous

OK

- anonymous

We will try solving x

- anonymous

The equation is: 5(2x – 3) = 5

- anonymous

Ok so try to get rid of the brackets as I showed you before.

- anonymous

Ok. Don't I have to move the X first though?

- anonymous

No
Just multiply the outside number with the numbers and variables in the bracket
Consider also this rule:\[a(bx+c)=abx+ac\]

- anonymous

No way that I try to do It is right :/

- anonymous

OK, Calm down I will help you

- anonymous

OK 5*2x=?

- anonymous

And 5 multiply with -3 is equal to -15

- anonymous

So you have 10x-15=5
Now try solving it

- anonymous

OH! So you multiply 5 by 2, x, and negative 3?

- anonymous

yes

- anonymous

x=2?

- anonymous

yes

- anonymous

Thank you!

- anonymous

And just to make sure. 4(x – 8) = 4 is D and 3(3x + 1) = 30 is B? Correct?

- anonymous

If you have solved any equation, you should replace your answer with the variable and perform the calculations to get it.
For example replace the 2 you have got with x and try calculating it and if you get 5 which is the answer:5(2(2)-3)=5 then that means that you have solved the equation correctly.
Your welcome

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