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6-3(2x-3)=5(6-x)-4x
We simplify the equation to the form, which is simple to understand
6-3(2x-3)=5(6-x)-4x
Reorder the terms in parentheses
6+(-6x+9)=5*(6-x)-4x
Remove unnecessary parentheses
+6-6x+9=+5+*(+6-x+)-4x
Reorder the terms in parentheses
6-6x+9=+(+30-5x)-4x
Remove unnecessary parentheses
+6-6x+9=+30-5x-4x
We move all terms containing x to the left and all other terms to the right.
-6x+5x+4x=+30-6-9
We simplify left and right side of the equation.
+3x=+15
We divide both sides of the equation by 3 to get x.
x=5
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