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5(x+9)=-6(3x-6)+8x
We simplify the equation to the form, which is simple to understand
5(x+9)=-6(3x-6)+8x
Reorder the terms in parentheses
+(+5x+45)=-6*(3x-6)+8x
Remove unnecessary parentheses
+5x+45=-6+*(+3x-6+)+8x
Reorder the terms in parentheses
+5x+45=+(-18x+36)+8x
Remove unnecessary parentheses
+5x+45=-18x+36+8x
We move all terms containing x to the left and all other terms to the right.
+5x+18x-8x=+36-45
We simplify left and right side of the equation.
+15x=-9
We divide both sides of the equation by 15 to get x.
x=-0.6
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