2 algebra problems? plz help 10 pts?

Question

1. Solve the following equation by first multiplying both sides by an appropriate power of 10 so that the equation contains integers only?

0.8x + 0.9= -1.5

x=?

2.solve

6(x+1.37)= 5x

x=?

Answer 1

.8x -.9 = =-1.5

.8x = -2.4

x * -3

2.

6x + 8.22 = 5x

8.22 = -1x

-8.22 =x

Answer 2

Simply

0.8x + 0.9= -1.5

1

0.8x -0.9=-1.5

0.8x=-2.4

x=-2.4/0.8

x=-3

2

6(x+1.37)=5x

6x+82.2=5x

-6x          -6x

82.2=-1x

82.2/-1 -1x/-1

x=-82.2

Answer 3

1. Multiply everything by the first power of ten, so 10^1 = 10. Basically multiply everything by ten, so you don't have to deal with the decimal point anymore and the numbers will be integers and be easier to deal with.

x10

8x + 9 = -15

8x = -24

x = -3

2. First distribute the 6.

6x + 8.22 = 5x

Move all the x's to one side.

x = -8.22

Answer 4

the first one i got x= -3

second one....wasnt sure.

sorry

Answer 5

for the first ..

when multiplied by 10 it becomes:

8x + 9 = -15

8x = -24

x = -3

or -0.3

And for the second...

6x + 8.22 = 5 x

8.22 = -x

x = -8.22

Answer 6

1. multiply by 100 and get

80x + 90 = -150

x = -3

2.

6x + 8.22 = 5x

x = -8.22

Answer 7

The first answer is -3.

Answer 8

first one, minus 0.9 from itself and from -1.5  

youll get 0.8x= ____ <-the difference of -1.5-0.9

then divide by 0.8 from both sides to cancel out the 0.8

x= whatever the difference of -1.5-0.9 / 0.8

2nd one..

6(x) = 6x+ 6(1.37)=5x ..  

6x+7.37=5x

minus 6 x from both sides

7.37=-x

divide by -1x on both sides

x=-7.37

Answer 9

1. x= -3

Answer 10

1)  10(0.8x+0.9) = 10(-1.5)

      8x+9 = -15

      8x = -15-9

      8x = -24

        x= -3

2)  6(x+1.37) = 5x

     6x+8.22=5x

     6x-5x = -8.22

       x=-8.22