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3(x-3)+4(2x-6)=6(x-4)+8(2x+1)
We simplify the equation to the form, which is simple to understand
3(x-3)+4(2x-6)=6(x-4)+8(2x+1)
Reorder the terms in parentheses
+(+3x-9)+4*(2x-6)=6*(x-4)+8*(2x+1)
Remove unnecessary parentheses
+3x-9+4+*(+2x-6+)=+6+*(+x-4+)+8+*(+2x+1+)
Reorder the terms in parentheses
+3x-9+(+8x-24)=6*(x-4)+8*(2x+1)
Remove unnecessary parentheses
+3x-9+8x-24=+6+*(+x-4+)+8+*(+2x+1+)
Reorder the terms in parentheses
+3x-9+8x-24=+(+6x-24)+8*(2x+1)
Remove unnecessary parentheses
+3x-9+8x-24=+6x-24+8+*(+2x+1+)
Reorder the terms in parentheses
+3x-9+8x-24=+6x-24+(+16x+8)
Remove unnecessary parentheses
+3x-9+8x-24=+6x-24+16x+8
We move all terms containing x to the left and all other terms to the right.
+3x+8x-6x-16x=-24+8+9+24
We simplify left and right side of the equation.
-11x=+17
We divide both sides of the equation by -11 to get x.
x=-1.5454545454545
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