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3/1(x+3/2)=6/1(x-4)
We simplify the equation to the form, which is simple to understand
3/1(x+3/2)=6/1(x-4)
Simplifying:
+3*(x+3/2)=6/1*(x-4)
Simplifying:
+3*(x+1.5)=6/1*(x-4)
Simplifying:
+3*(x+1.5)=+6*(x-4)
Reorder the terms in parentheses
+(+3x+4.5)=+6*(x-4)
Remove unnecessary parentheses
+3x+4.5=+6+*(+x-4+)
Reorder the terms in parentheses
+3x+4.5=+(+6x-24)
Remove unnecessary parentheses
+3x+4.5=+6x-24
We move all terms containing x to the left and all other terms to the right.
+3x-6x=-24-4.5
We simplify left and right side of the equation.
-3x=-28.5
We divide both sides of the equation by -3 to get x.
x=9.5
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