SOLUTION: How to solve -0.2344x=2028.732 Which is what in a equation?

Question 553440: How to solve -0.2344x=2028.732 Which is what in a equation?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
your equation is:
-0.2344x = 2028.732
divide both sides of this equation by -0.2344 to get:
x = 2028.732 / (-0.2344)
simplify to get:
x = -8655.0
in this equation, your unknown variable is x and the expression on the left side of the eqauation is equal to the expression on the right side of the equation.
the equal sign is the evaluator of the equation.
in this case it is saying that the expression on the left side of the equation is equal in value to the expression on the right side of the equation.
you solve equations by moving things around until you can isolate the unknown variable to one side of the equation with everything else on the other side of the equation.
you do this by either:
adding the same value to both sides of the equation.
subtracting the same value to both sides of the equation.
dividing both sides of the equation by the same value.
multiplying both sides of the equation by the same value.
in general, whatever you do to one side of the equation you have to do to the other side of the equation to preserve the relationship, in this case the relationship being that the left side of the equation is equal to the right side of the equation.
in this problem you divided both sides of the equation by the same value which was -.2344.
that isolated the x to the left side of the equation, providing the solution.
you confirm the solution by substituting the value of -8655 for x.
when you do that, the original equation of:
-0.2344x = 2028.732 becomes:
-0.2344(-8655) = 2028.732
when you simplify that, you get:
2028.732 = 2028.732
this confirms the solution for x is good because the left side of the equation still equals the right side of the equation after you replaced x with its solved for value.

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