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(7x-9)/2=(5x+3)/4+6
We simplify the equation to the form, which is simple to understand
(7x-9)/2=(5x+3)/4+6
Reorder the terms in parentheses
(+3.5x-4.5)=(5x+3)/4+6
Remove unnecessary parentheses
+3.5x-4.5=(5x+3)/4+6
Reorder the terms in parentheses
+3.5x-4.5=(+1.25x + 0.75)+6
Remove unnecessary parentheses
+3.5x-4.5=+1.25x + 0.75+6
We move all terms containing x to the left and all other terms to the right.
+3.5x-1.25x=0.75+6+4.5
We simplify left and right side of the equation.
+2.25x=+11.25
We divide both sides of the equation by 2.25 to get x.
x=5
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