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5(x-3)+5x-12+2(2x+3)=12(x-1)-5(6-2x)
We simplify the equation to the form, which is simple to understand
5(x-3)+5x-12+2(2x+3)=12(x-1)-5(6-2x)
Reorder the terms in parentheses
+(+5x-15)+5x-12+2*(2x+3)=12*(x-1)-5*(6-2x)
Remove unnecessary parentheses
+5x-15+5x-12+2+*(+2x+3+)=+12+*(+x-1+)-5+*(+6-2x+)
Reorder the terms in parentheses
+5x-15+5x-12+(+4x+6)=12*(x-1)-5*(6-2x)
Remove unnecessary parentheses
+5x-15+5x-12+4x+6=+12+*(+x-1+)-5+*(+6-2x+)
Reorder the terms in parentheses
+5x-15+5x-12+4x+6=+(+12x-12)-5*(6-2x)
Remove unnecessary parentheses
+5x-15+5x-12+4x+6=+12x-12-5+*(+6-2x+)
Reorder the terms in parentheses
+5x-15+5x-12+4x+6=+12x-12+(-30+10x)
Remove unnecessary parentheses
+5x-15+5x-12+4x+6=+12x-12-30+10x
We move all terms containing x to the left and all other terms to the right.
+5x+5x+4x-12x-10x=-12-30+15+12-6
We simplify left and right side of the equation.
-8x=-21
We divide both sides of the equation by -8 to get x.
x=2.625
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