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9(x-2)/6=3(x+3)/7
We simplify the equation to the form, which is simple to understand
9(x-2)/6=3(x+3)/7
Reorder the terms in parentheses
+(+9x-18)/6=3*(x+3)/7
Reorder the terms in parentheses
+(+1.5x-3)=3*(x+3)/7
Remove unnecessary parentheses
+1.5x-3=+3+*(+x+3+)+/7
Reorder the terms in parentheses
+1.5x-3=+(+3x+9)/7
Reorder the terms in parentheses
+1.5x-3=+( + 0.428571428571x+1.28571428571)
Remove unnecessary parentheses
+1.5x-3=0.428571428571x+1.28571428571
We move all terms containing x to the left and all other terms to the right.
+1.5x-0.428571428571x=+1.28571428571+3
We simplify left and right side of the equation.
+1.07142857143x=+4.28571428571
We divide both sides of the equation by 1.07142857143 to get x.
x=4
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