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(5x-20)/21-(3x-12)/7-(2x-8)/3=0
We simplify the equation to the form, which is simple to understand
(5x-20)/21-(3x-12)/7-(2x-8)/3=0
Reorder the terms in parentheses
( + 0.238095238095x-0.952380952381)-(3x-12)/7-(2x-8)/3=0
Remove unnecessary parentheses
+ 0.238095238095x-0.952380952381-(3x-12)/7-(2x-8)/3=0
Reorder the terms in parentheses
+ 0.238095238095x-0.952380952381-( + 0.428571428571x-1.71428571429)-(2x-8)/3=0
Remove unnecessary parentheses
+ 0.238095238095x-0.952380952381-0.428571428571x+1.71428571429-(2x-8)/3=0
Reorder the terms in parentheses
+ 0.238095238095x-0.952380952381-0.428571428571x+1.71428571429-( + 0.666666666667x-2.66666666667)=0
Remove unnecessary parentheses
+ 0.238095238095x-0.952380952381-0.428571428571x+1.71428571429-0.666666666667x+2.66666666667=0
We move all terms containing x to the left and all other terms to the right.
+ 0.238095238095x-0.428571428571x-0.666666666667x=0 + 0.952380952381-1.71428571429-2.66666666667
We simplify left and right side of the equation.
-0.857142857143x=-3.42857142858
We divide both sides of the equation by -0.857142857143 to get x.
x=4.00000000001
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