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.5(x+3)=2(x-3)
We simplify the equation to the form, which is simple to understand
.5(x+3)=2(x-3)
Reorder the terms in parentheses
+( + 0.5x+1.5)=2*(x-3)
Remove unnecessary parentheses
+ 0.5x+1.5=+2+*(+x-3+)
Reorder the terms in parentheses
+ 0.5x+1.5=+(+2x-6)
Remove unnecessary parentheses
+ 0.5x+1.5=+2x-6
We move all terms containing x to the left and all other terms to the right.
+ 0.5x-2x=-6-1.5
We simplify left and right side of the equation.
-1.5x=-7.5
We divide both sides of the equation by -1.5 to get x.
x=5
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