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1/2 (x+4)+1/3(x+9)-6 =2(x-2)
We simplify the equation to the form, which is simple to understand
1/2(x+4)+1/3(x+9)-6=2(x-2)
Simplifying:
+ 0.5*(x+4)+1/3*(x+9)-6=2*(x-2)
Simplifying:
+ 0.5*(x+4) + 0.333333333333*(x+9)-6=2*(x-2)
Reorder the terms in parentheses
+( + 0.5x+2) + 0.333333333333*(x+9)-6=2*(x-2)
Remove unnecessary parentheses
+ 0.5x+2 + 0.333333333333+*(+x+9+)-6=+2+*(+x-2+)
Reorder the terms in parentheses
+ 0.5x+2+( + 0.333333333333x+3)-6=2*(x-2)
Remove unnecessary parentheses
+ 0.5x+2 + 0.333333333333x+3-6=+2+*(+x-2+)
Reorder the terms in parentheses
+ 0.5x+2 + 0.333333333333x+3-6=+(+2x-4)
Remove unnecessary parentheses
+ 0.5x+2 + 0.333333333333x+3-6=+2x-4
We move all terms containing x to the left and all other terms to the right.
+ 0.5x + 0.333333333333x-2x=-4-2-3+6
We simplify left and right side of the equation.
-1.16666666667x=-3
We divide both sides of the equation by -1.16666666667 to get x.
x=2.57142857143
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