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1/3(x-6)=4x-2/5(2-x)
We simplify the equation to the form, which is simple to understand
1/3(x-6)=4x-2/5(2-x)
Simplifying:
+ 0.333333333333*(x-6)=4x-2/5*(2-x)
Simplifying:
+ 0.333333333333*(x-6)=4x-0.4*(2-x)
Reorder the terms in parentheses
+( + 0.333333333333x-2)=4x-0.4*(2-x)
Remove unnecessary parentheses
+ 0.333333333333x-2=+4x-0.4+*(+2-x+)
Reorder the terms in parentheses
+ 0.333333333333x-2=4x+(-0.8 + 0.4x)
Remove unnecessary parentheses
+ 0.333333333333x-2=+4x-0.8 + 0.4x
We move all terms containing x to the left and all other terms to the right.
+ 0.333333333333x-4x-0.4x=-0.8+2
We simplify left and right side of the equation.
-4.06666666667x=+1.2
We divide both sides of the equation by -4.06666666667 to get x.
x=-0.295081967213
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