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-3(x+6)-6(2x+8)=-2(4-x)+9(x+8)
We simplify the equation to the form, which is simple to understand
-3(x+6)-6(2x+8)=-2(4-x)+9(x+8)
Reorder the terms in parentheses
+(-3x-18)-6*(2x+8)=-2*(4-x)+9*(x+8)
Remove unnecessary parentheses
-3x-18-6+*(+2x+8+)=-2+*(+4-x+)+9+*(+x+8+)
Reorder the terms in parentheses
-3x-18+(-12x-48)=-2*(4-x)+9*(x+8)
Remove unnecessary parentheses
-3x-18-12x-48=-2+*(+4-x+)+9+*(+x+8+)
Reorder the terms in parentheses
-3x-18-12x-48=+(-8+2x)+9*(x+8)
Remove unnecessary parentheses
-3x-18-12x-48=-8+2x+9+*(+x+8+)
Reorder the terms in parentheses
-3x-18-12x-48=-8+2x+(+9x+72)
Remove unnecessary parentheses
-3x-18-12x-48=-8+2x+9x+72
We move all terms containing x to the left and all other terms to the right.
-3x-12x-2x-9x=-8+72+18+48
We simplify left and right side of the equation.
-26x=+130
We divide both sides of the equation by -26 to get x.
x=-5
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