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6(6x-2)-3(5x-9)=5(4x+5)-5
We simplify the equation to the form, which is simple to understand
6(6x-2)-3(5x-9)=5(4x+5)-5
Reorder the terms in parentheses
+(+36x-12)-3*(5x-9)=5*(4x+5)-5
Remove unnecessary parentheses
+36x-12-3+*(+5x-9+)=+5+*(+4x+5+)-5
Reorder the terms in parentheses
+36x-12+(-15x+27)=5*(4x+5)-5
Remove unnecessary parentheses
+36x-12-15x+27=+5+*(+4x+5+)-5
Reorder the terms in parentheses
+36x-12-15x+27=+(+20x+25)-5
Remove unnecessary parentheses
+36x-12-15x+27=+20x+25-5
We move all terms containing x to the left and all other terms to the right.
+36x-15x-20x=+25-5+12-27
We simplify left and right side of the equation.
+1x=+5
We divide both sides of the equation by 1 to get x.
x=5
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