alegebra please help. i am having a hard time solving these, and i have a test thursday. thanks for any help?

Question

1.) -2(x-3)=1/2x+3, 2.) 3-(x-4)=x+3, 3.) x+1=-x, 4.) 2x+2=4x-8, 5.)2x+2=-4, 6.) 4x-8=8.

Answer 1

1) -2x+6 = 0.5x+3
-20x + 60 = 5x + 30
30 = 25x
x = 25/30

2) -3x +12 = x + 3
4x = 9
x = 9/4

3)x +1 = -x
2x = -1
x = -1/2

4) 2x + 2 = 4x - 8
10 = 2x
x= 5

5) 2x+2=-4
2x=-6
x= -6/2

6) 4x - 8 = 8
4x = 16
x = 4

Hope I could be of some help!! Please rate me! x

Answer 2

(1) -2(x-3) = 1/2x +3
-2x+6 = 1/2x+3
-2x+3 = 1/2x
*now multiply both sides by 2 to get rid of the fraction:
-4x+6 = x
6 = 5x
6/5 = x

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

(3) x+1 = -x
1 = -2x
-1/2 = x

(4) 2x+2 = 4x-8
2x = 4x -10
-2x = -10
x = 5

(5) 2x+2 = -4
2x = -6
x = -3

(6) 4x-8 = 8
4x = 16
x = 4

Hope that helps! And don't forget...when you get an answer for "x" you can see if it's right by substituting your answer for x in the equation and see if the answer makes sense.

Answer 3

1.-2(X-3)=1/2X+3
UNSURE ABOUT THIS ONE

2.3-(X-4)=X-3
3+-X+4= X-3
7+-X=X-3
+3+-X=X+3
10+-X=X
+X=X
10=2X
2 2
5=X

3. X+1=-X
-1 -1
X=-X-1
+X=+X
2X=-1
X= -1/2

4. 2X+2=4X-8
+8 +8
2X+10=4X
2X 2X
10=2X
2 2
5=X

5. 2X+2=-4
-2 -2
2X= -6
2 2
X= -3

6.4X-8=8
+8=+8
4X=16
4 4
X=4

Answer 4

1) -2(x - 3) = 1/2 x + 3
-2x + 6 = 1/2 x + 3 : distribute -2 over parentheses
-4x + 12 = x + 6 : multiply by 2 to clear fraction
-5x = -6 : -x both sides and -12 both sides
x = 6/5 : divide by -5

2) 3 - (x - 4) = x + 3
3 - x + 4 = x + 3 : distribute -1 over parentheses
7 - x = x + 3 : add on left
7 = 2x + 3 : add x to both sides
2x = 4 : subtract 3 from both and switch sides
x = 2 : divide by 2

3) x + 1 = -x
2x = -1 : add x to both sides and subtract 1 from both sides
x = -1/2 : divide by 2

4) 2x + 2 = 4x - 8
2x = 4x - 10 : subtract 2
-2x = -10 : subtract 4x
x = 5 : divide by -2

5) 2x + 2 = -4
2x = -6 : subtract 2 from both sides
x = -3 : divide by 2

6) 4x - 8 = 8
4x = 16 : add 8 to both sides
x = 4 : divide by 4

Answer 5

1.) distribute the -2 to the x and to the -3 = to -2x+6
so the problem changes to -2x+6=1/2x+3
then subtract 6 from both sides
so then the problem becomes -2x=1/2x-3
then divide and evaluate
i will do number 6.) 4x-8=8
add 8 to both sides turning problem to 4x=16
divide by 4 becoming x=4
substitute 4 for x in the problem and see if the answer is correct

Answer 6

Question 1
Assuming question should read as
-2 (x - 3) = (1 / 2) x + 3
- 4 (x - 3) = x + 6
- 4x + 12 = x + 6
6 = 5 x
x = 6 / 5
Question 2
3 - x + 4 = x + 3
4 = 2x
x = 2
Question 3
2x = - 1
x = - 1/2
Question 4
10 = 2x
x = 5
Question 5
2x = - 6
x = - 3
Question 6
4x = 16
x = 4

Answer 7

1) -2x+6=1/2+3
-4x+12=x+6
-5x=-6
x=6/5

2) 3-x+4=x+3
-2x=3-3+4
-2x=4
x=-2

3) 2x+2=4x-8
-2x=-10
x=5

4) 2x+2=-4
2x=-6
x=-3

5) 4x-8=8
4x=16
x=4

Answer 8

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Answer 9

so far:

5) x equals -3

6) x equals 4

Answer 10

Read u'r text book. Steps to solve these are in there.