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(5a-3)/6=(4-a)/5
We simplify the equation to the form, which is simple to understand
(5a-3)/6=(4-a)/5
Reorder the terms in parentheses
( + 0.833333333333a-0.5)=(4-a)/5
Remove unnecessary parentheses
+ 0.833333333333a-0.5=(4-a)/5
Reorder the terms in parentheses
+ 0.833333333333a-0.5=( + 0.8-0.2a)
Remove unnecessary parentheses
+ 0.833333333333a-0.5=0.8-0.2a
We move all terms containing a to the left and all other terms to the right.
+ 0.833333333333a + 0.2a=0.8 + 0.5
We simplify left and right side of the equation.
+1.03333333333a=+1.3
We divide both sides of the equation by 1.03333333333 to get a.
a=1.25806451613
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