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2/3(3x+9)=3/4(2x+6)
We simplify the equation to the form, which is simple to understand
2/3(3x+9)=3/4(2x+6)
Reorder the terms in parentheses
+(+2x+6)=0.75*(2x+6)
Remove unnecessary parentheses
+2x+6=0.75+*(+2x+6+)
Reorder the terms in parentheses
+2x+6=+(+1.5x+4.5)
Remove unnecessary parentheses
+2x+6=+1.5x+4.5
We move all terms containing x to the left and all other terms to the right.
+2x-1.5x=+4.5-6
We simplify left and right side of the equation.
+ 0.5x=-1.5
We divide both sides of the equation by 0.5 to get x.
x=-3
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