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(1+2x)/7+(5-x)/3=41/21
We simplify the equation to the form, which is simple to understand
(1+2x)/7+(5-x)/3=41/21
Reorder the terms in parentheses
( + 0.14285714285714 + 0.28571428571429x)+(5-x)/3=+1.952380952381
Remove unnecessary parentheses
+ 0.14285714285714 + 0.28571428571429x+(5-x)/3=+1.952380952381
Reorder the terms in parentheses
+ 0.14285714285714 + 0.28571428571429x+(+1.6666666666667-0.33333333333333x)=+1.952380952381
Remove unnecessary parentheses
+ 0.14285714285714 + 0.28571428571429x+1.6666666666667-0.33333333333333x=+1.952380952381
We move all terms containing x to the left and all other terms to the right.
+ 0.28571428571429x-0.33333333333333x=+1.952380952381-0.14285714285714-1.6666666666667
We simplify left and right side of the equation.
-0.047619047619044x=0.14285714285711
We divide both sides of the equation by -0.047619047619044 to get x.
x=-2.9999999999996
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