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3(x+3)/2-2(2-3x)=8x-1-2(x+3)
We simplify the equation to the form, which is simple to understand
3(x+3)/2-2(2-3x)=8x-1-2(x+3)
Reorder the terms in parentheses
+(+3x+9)/2-2*(2-3x)=8x-1-2*(x+3)
Reorder the terms in parentheses
+(+1.5x+4.5)-2*(2-3x)=8x-1-2*(x+3)
Remove unnecessary parentheses
+1.5x+4.5-2+*(+2-3x+)=+8x-1-2+*(+x+3+)
Reorder the terms in parentheses
+1.5x+4.5+(-4+6x)=8x-1-2*(x+3)
Remove unnecessary parentheses
+1.5x+4.5-4+6x=+8x-1-2+*(+x+3+)
Reorder the terms in parentheses
+1.5x+4.5-4+6x=8x-1+(-2x-6)
Remove unnecessary parentheses
+1.5x+4.5-4+6x=+8x-1-2x-6
We move all terms containing x to the left and all other terms to the right.
+1.5x+6x-8x+2x=-1-6-4.5+4
We simplify left and right side of the equation.
+1.5x=-7.5
We divide both sides of the equation by 1.5 to get x.
x=-5
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