SOLUTION: I need assistance in trying to solve for x in the following equation. I am struggling since fractions are involved and there is more than one x on the left side of the equation.

Question 1066106: I need assistance in trying to solve for x in the following equation. I am struggling since fractions are involved and there is more than one x on the left side of the equation.
(25796.54*((100-x)/100))+((25796.54*(x/100))*.6)=19331.50
Found 2 solutions by Fombitz, rothauserc:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
To eliminate the fractions, multiply both sides by 100.

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
(25796.54*((100-x)/100))+ ((25796.54*(x/100))*.6) = 19331.50
:
factor 25796.54 from both sides of the + sign
:
25796.54 * ( (100-x)/100) + (x/100))*.6) ) = 19331.50
:
divide both sides of = by 25796.54
:
( (100-x)/100) + (x/100))*.6) ) = 0.7494
:
multiply both sides of = by 100
:
100 - x + 0.6x = 74.94
:
subtract 100 from both sides of =
:
-x + 0.6x = -25.06
:
-0.4x = -25.06
:
*******************************************************************
x = 62.65
:
check the answer
:
(25796.54*((100-62.65)/100))+ ((25796.54*(62.65/100))*.6) = 19331.50
:
19331.927076 approx = 19331.50
********************************************************************
:
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