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(7x+3)/2-(9x-8)/4=6
We simplify the equation to the form, which is simple to understand
(7x+3)/2-(9x-8)/4=6
Reorder the terms in parentheses
(+3.5x+1.5)-(9x-8)/4=6
Remove unnecessary parentheses
+3.5x+1.5-(9x-8)/4=6
Reorder the terms in parentheses
+3.5x+1.5-(+2.25x-2)=6
Remove unnecessary parentheses
+3.5x+1.5-2.25x+2=6
We move all terms containing x to the left and all other terms to the right.
+3.5x-2.25x=+6-1.5-2
We simplify left and right side of the equation.
+1.25x=+2.5
We divide both sides of the equation by 1.25 to get x.
x=2
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