Solve the equation, "2(2x+1) - 3(x-1) = 8. I know the answer is 3 but how do you work it out?

Question

This is off an example test. It has the answer but I want to know how to get the answer. Please help!

Answer 1

2(2x+1)-3(x-1)=8
4x+2-3x+3=8
4x-3x=8-2-3
x=3

Answer 2

Replace "x" in the equation with 3.

Then solve (2x +1). It should look like this; (2*3 + 1).Take that answer and multiply it by 2; 2(6+1) or 2(7) = 14.

Then solve (x-1); (3 -1) = (2). Take this and multiply it by 3, the 3 (x-1) sections; 3(2) = 6

So your entire equation should follow these steps:

2(2x +1) – 3(x-1) = 8
2(2*3+1) – 3(3-1) = 8
2(7) – 3(2) = 8
14 -6 = 8

Once you have completed these steps you should have 14 - 6 = 8 which is a correct statement.

Note: when solving an algebra equation always solve what is in parentheses first.

Answer 3

First, try to remove the ()'s, then [ ]'s, then the { }'s.
To do that, you must use the DISTRIBUTIVE PROPERTY of multiplication.

2(2x+1) - 3(x-1) will become 4x+2 - 3x+3.

(The sign in 3x+3 became positive because you multiplied to negative signs, which makes it a, positive. (-3 times -1)

Then, try to combine the like terms.

The like terms here would be:

4x and -3x and 2 and 3.

=Combine them (meaning add them), which will be x (4x-3x will be 1x, just deleting the 1), and 5.

=So the equation will now be: x+5 = 8.

Take note that if a number or variable does not have a sign, it is positive. So don't be confused. It should really be (+x+5 = 8).


So, to get the value of x, use the ADDITION PROPERTY OF EQUALITY, in which you would isolate the variable x.

By doing that, you should transpose the number in the side of x to the other side.

And as you transpose its side, you would also change its sign.


So the equation would be like this:

x+5-5=8-5.

or simply,

x=8-5.


Simplify that equation,


Which, (uhh) leaves, x=3.


There!

Answer 4

2(2x+1) - 3(x-1) = 8. Follow these steps:

1) First open the brackets. We get
4x + 2 - 3x+ 3 = 8
2) Take all x terms to a side and others to other side:
we get x = 8 - 5 = 3.
Thus x = 3!

Answer 5

start with 2(2x+1) - 3(x-1) = 8
Expand to 4x +2 - 3x +3 = 8
simpilfy to x + 5 =8
Then x = (8-5) = 3

Answer 6

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Answer 7

2(2x+1)-3(x-1)=8
(2*2x)+(2*1)+(-3*x)+(-3*-1)=8
4x+2-3x+3=8
x+5=8
x=8-5=3
the 1st thing is to distribute the #'s outside the parentheses the #'s 2&3 respectively.
then you have to combine the like terms such as the 4x and the
-3x and the 2 and the 3.
then you must perform the opposite operation in order to isolate the variable which results in 3 being your answer.
the best way for me to show you is to write it on a piece of paper and walk you through the steps.

Answer 8

1. Multiply it out:
4x+2-3x+3=8

2. Isolate the x.
4x-3x=8-2-3

3. Solve!
x=3

Yay!

Answer 9

First simplify (4x+2)-(3x-3)=8, x+5=8, then solve, x-3=0, x=3.

Answer 10

1st, get the individual out from the brackets,
2(2x) + 2(1) - 3(x) + 3 (1) = 8
ie. 4x + 2 - 3x + 3 = 8

2nd, arrange the similar item together,
4x - 3x = 8 -2 -3

3rd, just minus and get the answer.
1x or x = 3

Answer 11

2(2x+1)-3(x-1)=8
First:
2(2x+1)=2*2x+2*1=4x+2
Second:
3(x-1)=3*x-3*1=3x-3
Third:
2(2x+1)-3(x-1)=8 is the same as
(4x+2)-(3x-3)=8 is the same as
4x+2-3x+3=8 is the same as
x+5=8 so
x=8-5 so
x=3