How do I find the meaning of x in: 0,3x-6-x=-4,6 ? ;/

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To solve the equation 0.3x - 6 - x = -4.6, the first step is to simplify it correctly. The equation can be rewritten as 0.3x - 1x = 1.4 after adding 6 to both sides. This leads to -0.7x = 1.4, resulting in x = -2 when divided by -0.7. However, there is confusion regarding the calculations, particularly around the order of operations and the handling of coefficients. Properly applying these principles is crucial for arriving at the correct solution.
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How do I find the meaning of x in: 0,3x-6-x=-4,6 ? ;/
 
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Do you know how to solve linear equations?
 


0,3x-6-x=-4,6|+6
0,3x-x=1,4
-0,3x=1,4|:0,3
x=4,(6)

And I am lost now ;/ That number isn't right
 


MathNub said:
0,3x-6-x=-4,6|+6
0,3x-x=1,4
-0,3x=1,4|:0,3
This isn't right. 0,3x - x does not equal -0,3x. It may be easier to think of it as;
0,3x - 1x
(a variable without a coefficient really means that the coefficient is 1)
So what does this equal to?
 


-0,7x=1,4|:0,7
x=2

0,3*2-6-2=0,6-8=-7,4

But then we get the wrong answer.
 


MathNub said:
-0,7x=1,4|:0,7
x=2
No... :cry: the bold should be -0.7, not 0.7.

MathNub said:
0,3*2-6-2=0,6-8=-7,4
No... :cry: :cry: you need to follow the order of operations! Ignoring that we have the wrong answer for the moment, the multiplication comes first, then the 1st subtraction, and then the 2nd subtraction. You multiplied, and then did -6-2, which is wrong.
 

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