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5(x-3)+2(-4x-6)=0
We simplify the equation to the form, which is simple to understand
5(x-3)+2(-4x-6)=0
Reorder the terms in parentheses
+(+5x-15)+2*(-4x-6)=0
Remove unnecessary parentheses
+5x-15+2+*(-4x-6+)=0
Reorder the terms in parentheses
+5x-15+(-8x-12)=0
Remove unnecessary parentheses
+5x-15-8x-12=0
We move all terms containing x to the left and all other terms to the right.
+5x-8x=0+15+12
We simplify left and right side of the equation.
-3x=+27
We divide both sides of the equation by -3 to get x.
x=-9
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