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3x-(18+x)/4-(5x-2)/3=7
We simplify the equation to the form, which is simple to understand
3x-(18+x)/4-(5x-2)/3=7
Reorder the terms in parentheses
3x-(+4.5 + 0.25x)-(5x-2)/3=7
Remove unnecessary parentheses
3x-4.5-0.25x-(5x-2)/3=7
Reorder the terms in parentheses
3x-4.5-0.25x-(+1.66666666667x-0.666666666667)=7
Remove unnecessary parentheses
3x-4.5-0.25x-1.66666666667x + 0.666666666667=7
We move all terms containing x to the left and all other terms to the right.
+3x-0.25x-1.66666666667x=+7+4.5-0.666666666667
We simplify left and right side of the equation.
+1.08333333333x=+10.8333333333
We divide both sides of the equation by 1.08333333333 to get x.
x=10
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