SOLUTION: Hello! Thanks in advance for your help. I'm having trouble with this problem: 0.92 + 0.9(x - 0.3) = 2x - 5.95 My attempt at a solution: 100(0.92) + 100[0.9(x -

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Question 935148: Hello!
Thanks in advance for your help.

I'm having trouble with this problem:
0.92 + 0.9(x - 0.3) = 2x - 5.95

My attempt at a solution:

100(0.92) + 100[0.9(x - 0.3)] = 100(2x) - 100(5.95)
92 + 9(x - 0.3) = 200x - 595
This is where I'm having trouble. I'm not sure how to proceed. This is my attempt:
92 + 9x - 2.7 = 200x - 595
I was told to multiply by a factor of 10 to remove the decimals:

10(92) + 10(9x) - 10(2.7) = 10(200x) - 10(595)

920 + 90x - 27 = 2000x - 5950
893 + 90x = 2000x - 5950
893 + 90x - 2000x = 2000x - 2000x - 5950
893 - 1910x = -5950
893 - 893 - 1910x = -5950 - 893
-1910x = -6843
-1910x/1910 = -6843/1910
-x = -3.58
x = 3.58
The textbook says the answer is 6. It looked like such as easy problem but I'm stuck on it.
I would be most grateful if you could help.
Merry Christmas!
Mark Beaton
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!


Factors and coefficients as whole or integers numbers would be easier to use. Multiply left and right sides by 100.



You want terms of x on one side and all computatable constants on the other side. Start with the or any multplications possible.



Continue to simplify...













--
Your mistake was a small arithmetic computation early in your process.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Hello!
Thanks in advance for your help.

I'm having trouble with this problem:
0.92 + 0.9(x - 0.3) = 2x - 5.95

My attempt at a solution:

100(0.92) + 100[0.9(x - 0.3)] = 100(2x) - 100(5.95)
92 + 9(x - 0.3) = 200x - 595
This is where I'm having trouble. I'm not sure how to proceed. This is my attempt:
92 + 9x - 2.7 = 200x - 595
I was told to multiply by a factor of 10 to remove the decimals:

10(92) + 10(9x) - 10(2.7) = 10(200x) - 10(595)

920 + 90x - 27 = 2000x - 5950
893 + 90x = 2000x - 5950
893 + 90x - 2000x = 2000x - 2000x - 5950
893 - 1910x = -5950
893 - 893 - 1910x = -5950 - 893
-1910x = -6843
-1910x/1910 = -6843/1910
-x = -3.58
You don't have to convert to whole numbers if you're comfortable with decimals. As seen it takes just a

few steps to solve.

.92 + .9x - .27 = 2x - 5.95

       .9x - 2x = - 5.95 - .65

         - 1.1x = - 6.6

, or  

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