3/4(x-1)-5/3(x-4)=8/5(6-x)+38

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Solution for 3/4(x-1)-5/3(x-4)=8/5(6-x)+38 equation:


3/4(x-1)-5/3(x-4)=8/5(6-x)+38

We simplify the equation to the form, which is simple to understand
3/4(x-1)-5/3(x-4)=8/5(6-x)+38

Reorder the terms in parentheses
+( + 0.75x-0.75)-1.6666666666667*(x-4)=+1.6*(6-x)+38

Remove unnecessary parentheses
+ 0.75x-0.75-1.6666666666667+*(+x-4+)=+1.6+*(+6-x+)+38

Reorder the terms in parentheses
+ 0.75x-0.75+(-1.6666666666667x+6.6666666666667)=+1.6*(6-x)+38

Remove unnecessary parentheses
+ 0.75x-0.75-1.6666666666667x+6.6666666666667=+1.6+*(+6-x+)+38

Reorder the terms in parentheses
+ 0.75x-0.75-1.6666666666667x+6.6666666666667=+(+9.6-1.6x)+38

Remove unnecessary parentheses
+ 0.75x-0.75-1.6666666666667x+6.6666666666667=+9.6-1.6x+38

We move all terms containing x to the left and all other terms to the right.
+ 0.75x-1.6666666666667x+1.6x=+9.6+38 + 0.75-6.6666666666667

We simplify left and right side of the equation.
+ 0.6833333333333x=+41.683333333333

We divide both sides of the equation by 0.6833333333333 to get x.
x=61.000000000003

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