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
<pre>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
{{{x = (- 6.6)/(- 1.1)}}}, or {{{highlight_green(x = 6)}}}