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(x-9)/7=(x-2)/3
We simplify the equation to the form, which is simple to understand
(x-9)/7=(x-2)/3
Reorder the terms in parentheses
( + 0.14285714285714x-1.2857142857143)=(x-2)/3
Remove unnecessary parentheses
+ 0.14285714285714x-1.2857142857143=(x-2)/3
Reorder the terms in parentheses
+ 0.14285714285714x-1.2857142857143=( + 0.33333333333333x-0.66666666666667)
Remove unnecessary parentheses
+ 0.14285714285714x-1.2857142857143=0.33333333333333x-0.66666666666667
We move all terms containing x to the left and all other terms to the right.
+ 0.14285714285714x-0.33333333333333x=-0.66666666666667+1.2857142857143
We simplify left and right side of the equation.
-0.19047619047619x=0.61904761904763
We divide both sides of the equation by -0.19047619047619 to get x.
x=-3.2500000000001
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