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1/3(12x+6)=1/2(3x-5)
We simplify the equation to the form, which is simple to understand
1/3(12x+6)=1/2(3x-5)
Reorder the terms in parentheses
+(+4x+2)=0.5*(3x-5)
Remove unnecessary parentheses
+4x+2=0.5+*(+3x-5+)
Reorder the terms in parentheses
+4x+2=+(+1.5x-2.5)
Remove unnecessary parentheses
+4x+2=+1.5x-2.5
We move all terms containing x to the left and all other terms to the right.
+4x-1.5x=-2.5-2
We simplify left and right side of the equation.
+2.5x=-4.5
We divide both sides of the equation by 2.5 to get x.
x=-1.8
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