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3[2x-3]+5=9[x-1]+8
We simplify the equation to the form, which is simple to understand
3(2x-3)+5=9(x-1)+8
Reorder the terms in parentheses
+(+6x-9)+5=9*(x-1)+8
Remove unnecessary parentheses
+6x-9+5=+9+*(+x-1+)+8
Reorder the terms in parentheses
+6x-9+5=+(+9x-9)+8
Remove unnecessary parentheses
+6x-9+5=+9x-9+8
We move all terms containing x to the left and all other terms to the right.
+6x-9x=-9+8+9-5
We simplify left and right side of the equation.
-3x=+3
We divide both sides of the equation by -3 to get x.
x=-1
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