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6(2x+9)-1=5(3x-4)
We simplify the equation to the form, which is simple to understand
6(2x+9)-1=5(3x-4)
Reorder the terms in parentheses
+(+12x+54)-1=5*(3x-4)
Remove unnecessary parentheses
+12x+54-1=+5+*(+3x-4+)
Reorder the terms in parentheses
+12x+54-1=+(+15x-20)
Remove unnecessary parentheses
+12x+54-1=+15x-20
We move all terms containing x to the left and all other terms to the right.
+12x-15x=-20-54+1
We simplify left and right side of the equation.
-3x=-73
We divide both sides of the equation by -3 to get x.
x=24.3333333333
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