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6(x-3)/9=2(x+1)/7
We simplify the equation to the form, which is simple to understand
6(x-3)/9=2(x+1)/7
Reorder the terms in parentheses
+(+6x-18)/9=2*(x+1)/7
Reorder the terms in parentheses
+( + 0.66666666666667x-2)=2*(x+1)/7
Remove unnecessary parentheses
+ 0.66666666666667x-2=+2+*(+x+1+)+/7
Reorder the terms in parentheses
+ 0.66666666666667x-2=+(+2x+2)/7
Reorder the terms in parentheses
+ 0.66666666666667x-2=+( + 0.28571428571429x + 0.28571428571429)
Remove unnecessary parentheses
+ 0.66666666666667x-2=0.28571428571429x + 0.28571428571429
We move all terms containing x to the left and all other terms to the right.
+ 0.66666666666667x-0.28571428571429x=0.28571428571429+2
We simplify left and right side of the equation.
+ 0.38095238095238x=+2.2857142857143
We divide both sides of the equation by 0.38095238095238 to get x.
x=6.0000000000001
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