math question show work and you get 10 pts?

Question

4. Solve for x:
2(2x – 5) + 1 = x – 8 – 5x



5. Solve for x:
(x – 7)/5 – 5/2 = (x + 9)/10



6. Translate to an algebra statement; do not solve:
Three times the difference of five and a twice a number yields the same result as the same number increased by four.

I'm in college and the term just started I go online and math was never my subject. I'm a criminal justice major .. just please help!

Answer 1

4) 2(2x – 5) + 1 = x – 8 – 5x
4x - 10 + 1 = -4x - 8
4x - 9 = -4x - 8
4x - 9 + 4x = -4x - 8 + 4x
8x - 9 = -8
8x - 9 + 9 = -8 + 9
8x = 1
x = 1/8

5) (x – 7)/5 – 5/2 = (x + 9)/10
2(x-7) - 5(5) = (x+9) ------ multiply by 10 throughout
2x - 14 - 25 = x + 9
2x - 39 = x + 9
2x - 39 - x = x + 9 - x
x - 39 = 9
x - 39 + 39 = 9 + 39
x = 9 + 39
x = 48

6) Let x by the number.
3(5 - 2x) = x + 4

Answer 2

4. Solve for x:
2(2x – 5) + 1 = x – 8 – 5x
multiply through..
2x - 10 + 1 = x - 8 - 5x
simplify
2x - 9 = -8 - 4x
x's on one side, numbers on the other..
( positive number goes on the opposite sude, become negative, and vice versa)
2x + 4x = -8 + 9
Simplify
6x = 1
divide both sides by 6
x = 1/6

5. Solve for x:
(x – 7)/5 – 5/2 = (x + 9)/10
multiply both sides by 10
2(x – 7) - (5)*5 = x+9
simplify
2x - 14 - 25 = x + 9
simplify more..
2x - 39 = x + 9
x's on one side, numbers on the other..
( positive number goes on the opposite sude, become negative, and vice versa)
2x - x = 9 + 39
simplify
x = 48

6.Translate to an algebra statement; do not solve:
Three times the difference of five and a twice a number yields the same result as the same number increased by four.

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

Answer 3

Answers:
4. Solve for x:
2(2x – 5) + 1 = x – 8 – 5x
4x-10+1=-4x-8
8x=9-8
x=1/8


5. Solve for x:
(x – 7)/5 – 5/2 = (x + 9)/10
1/10[2(x-7)-25]=(x+9)/10
cancel-out 1/10
x2-14-25=x+9
x=9+14+25
x=48


6. Translate to an algebra statement; do not solve:
Let a equals the number
3(5-2a)=a+4

Answer 4

2(2x- 5) + 1 = x - 8 -5x

4x -10 + 1 = -8 - 4x

4x - 9 = -8 - 4x

8x = 1

x = 1/8


(x - 7) / 5 - 5/ 2 = (x + 9) / 10 Multiply through by 10

2 (x -7) - 25 = x + 9

2x - 14 -25 = x + 9

2x -39 = x + 9

2x = x + 48

x = 48

Answer 5

4.
2(2x-5)+1=x-8-5x
4x-10+1 = -8 - 4x
8x=1
x=1/8

5.
(x-7)/5 - 5/2 = (x+9)/10

2(x-7) -25 =x+9

2x - 14 -25 = x+9

x= 30

6.

.let the number be x

three times the diff of 5 = 3(x-5)

twice a num = 2x

number increased by 4 =x+4

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

4x= 19

x= 19/4

Answer 6

4x - 10 + 1 = x - 8 - 5x
8x = 1
x = 1/8

Get a common denominator
2(x - 7)/10 - 25/10 = (x + 9)/10
2(x - 7) - 25 = x + 9
2x - 14 - 25 = x + 9
x = 48

3 (5 - 2x) = x + 4

Answer 7

4) 2(2x-5)+1 = x-8-5x
4x-10+1= x-8- 5x
4x-9=-8-4x
4x+4x= -8+9
8x=1
x=1/8
5)(x-7)/5-5/2=(x+9)/10
2(x-7)-5*5/5*2(lcm)= (x+9)/10
2x-14-25/10= (x+9)/10
cancell 10 on both sides
2x-39=x+9
2x-x=9+39
x=48
6)let the number be x then
3(5-2x)=x+4

Answer 8

Jeez. I got dumber just reading those questions.

Distribute and collecting like terms:
4x - 10 + 1 = -4x - 8
4x - 9 = -4x - 8

8x = 1
x = 1/8

2
Multiply through by 10
2(x-7) - 25 = x + 9
2x- 14 - 25 = x + 9
x = 9 + 14 + 25 = 48

Answer 9

2(2x-5)+1=x-8-5x
4x-10+1=-8-4x (distribute like terms)
4x-9=-8-4x
+9=+9
4x+0=1-4x
+4x = +4x
8x =1
(divide both sides by by 8)
x=1/8


5. (x-7)/5-5/2=(x+9)/10
(multiply everything by 10)

2(x-7)-25=(x+9)
2x-14-25=(x+9) (distribute)
2x-39=x+9
+39= +39
2x =x+48
-x = -x

x= 48

6. 3(5-2n)=n+4

Answer 10

4)2(2x-5) + 1 = x - 8 - 5x
open the brackets,
4x - 10 + 1 = x - 8 - 5x
group similar terms(NOTE:when terms r brought to r.h.s or l.h.s their sign gets reversed)
5x-x+4x-10+1+8=0
8x-1=0
8x=1
x=1/8

5) (x-7)/5 - 5/2 = (x+9)/10
take L.C.M( & cancel both denominator:10)
2(x-7) - 25 = (x+9)
2x - 14 -25 = x + 9
2x-x-14-25-9=0
x-48=0
x=48

6)sorry i tried this one but coud'nt get correct answer.