solving for x?

Question

-0.7x+1.15=-0.4x+3.85
a. -81.818
b -9
c -24.545
d. 9

0.10(70)+0.50x=0.30(70+x)
a. 35
b. 70
c. 80
d. 60

Answer 1

First question: we just simplify and group together like terms. Let's move the "x" terms to the left hand side, and the numbers to the right hand side.

-0.7x + 1.15 = -0.4x + 3.85
-0.7x + 0.4x = 3.85 - 1.15
-0.3x = 2.70 (at this point, divide both sides by -0.3x) to get
x = -9

Thus, the answer is b.

For the second question, you first expand each side the best way you can.

0.10(70) + 0.50x = 0.30 (70+x)
7 + 0.5x = 21 + 0.3x
0.5x - 0.3x = 21 - 7
0.2x = 14
x = 70

So the answer is b.

Answer 2

Problem #1
-0.7x + 1.15 = -0.4x + 3.85
Lets get our like terms together, combine terms with x on one side and intergers on one side. When we shift sides, the signs will change.

Step 1: -0.7x + 0.4x = 3.85 - 1.15
Step 2: -0.3x = 2.70
Step 3: x = 2.70 / -0.3
Step 4: -9

Answer = (b)
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Problem #2
0.10(70) + 0.50x = 0.30(70+x)
Lets expand this equation first by multiplying terms

Step 1: 7 + 0.50x = 21 + 0.3x

Now lets get our like terms together, combine terms with x on one side and intergers on one side. When we shift sides, the signs will change

Step 2: 0.5x - 0.3x = 21 - 7
Step 3: .02x = 14
Step 4: x = 14/.02

Therefore x = 70

Answer = (b)

Answer 3

1)

-.7x + 1.15 = -.4x +3.85
subtract 1.15 on both sides you'll get
-.7x = -.4x +2.7
then add .4x to both sides and you'll get
-.3x = 2.7
divide by -.3 onto both sides and you'll get
-9

The answer is B -9

2)

.10(70)+.50x = .30(70+x)
take .10*70 and take .30*(70+x) you'll get
7+.50x = 21+.3x
then subtrack 7 on both sides and subtract .3x from both sides and you'll get
.2x = 14
divide by .2 and the answer is
70

The answers is B 70

Answer 4

Solving for x means you need to put x by itself on one side of the equation. So for the first one:

-0.7x+1.15=-0.4x+3.85
-0.7x=-0.4x+2.7 (Subtracted 1.15 from both sides.)
-0.3x=2.7 (Subtracted -0.4 from both sides.)
x=-9 (divided both side by -0.3.)

And for the second:

0.10(70)+0.5x=0.3(70+x)
0.5x+7=0.3x+21 (simplified both sides.)
0.5x=0.3x+14 (Subtracted 7 from both sides.)
0.2x=14 (Subtracted 0.3x from both sides.)
x=70 (divided both sides by 0.2.)

Answer 5

b.-9

2.b.70

Answer 6

Firat one .... none of the options given is coirrect. The correct answer is -2.45454545......... It is as simple as "-2.70/1.1"

Second one ..... answer is (b) i.e. 70

Answer 7

b.

b.