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6(x-3)/3=2(x+3)/7
We simplify the equation to the form, which is simple to understand
6(x-3)/3=2(x+3)/7
Reorder the terms in parentheses
+(+6x-18)/3=2*(x+3)/7
Reorder the terms in parentheses
+(+2x-6)=2*(x+3)/7
Remove unnecessary parentheses
+2x-6=+2+*(+x+3+)+/7
Reorder the terms in parentheses
+2x-6=+(+2x+6)/7
Reorder the terms in parentheses
+2x-6=+( + 0.28571428571429x + 0.85714285714286)
Remove unnecessary parentheses
+2x-6=0.28571428571429x + 0.85714285714286
We move all terms containing x to the left and all other terms to the right.
+2x-0.28571428571429x=0.85714285714286+6
We simplify left and right side of the equation.
+1.7142857142857x=+6.8571428571429
We divide both sides of the equation by 1.7142857142857 to get x.
x=4
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