Math Problems, Show all work 10 pts!!?!!!!?

Question

a. Solve: -5/9=x-2/5
b. Solve: x+1/2=1/4x-5/8
c. Solve: 0.06x+0.08(100-x)=6.5
d. Solve: -(3x+1)-(4x-7)=4-(3x+2)

Answer 1

a) Given that

Take L.C.M

c) 0.06x+0.08(100-x)=6.5

   0.06x + 8 - 0.08x - 6.5 = 0

   -0.02x + 1.5 = 0

   -0.02x = -1.5

    x = -1.5/0.02

    x = 75

d) -(3x+1)-(4x-7)=4-(3x+2)

   -3x - 1 - 4x + 7 = 4 - 3x - 2

   -3x - 1 - 4x + 7 - 4 + 3x +2=0

   - 4x + 4= 0

   -4x = -4

   x = -4/-4

   x = 1
 

 

Answer 2

1) -5/9 = x-2/5

Add 2/5 to each side.

-5/9+2/5 = X-2/5+2/5

-5*5+2*9/45 = X

-25+18/45 = X

-7/45 = X

X = -7/45

2) X+1/2 = 1/4X-5/8

Bring x variable terms to one side.

x-1/4x = -5/8-1/2

3x/4 = -5-4/8

3x/4 = -9/8

Multiply 4/3 to each side.

3x/4*4/3 = -9/8*4/3

x = -3/2

3)0.06x+0.08(100-x) = 6.5

0.06x+8-0.08x = 6.5

8-0.02x = 6.5

Subtract 8 from each side.

8-8-0.02x = 6.5-8

-0.02x = 6.5-8

-0.02x = -1.5

Divide to each side by negitive 0.02.

-0.02x/-0.02 = -1.5/-0.02

x = 1.5/0.02

Multiple 100/100 to each side.

100x/100 = 1.5/0.02*100/100

x = 150/2

x = 75

4)-(3x+1) -(4x-7) = 4-(3x+2)

-3x+1-4x+7 = 4-3x+2

Bring varible terms to one side.

-3x-4x+3x = 4+2-1-7

-4x = -2

x = -2/-4

x = 1/2

Comments

4)
check your answer x = 1, typo error in step 2.
-3x - 1 - 4x + 7 = 4 - 3x - 2