6(x-2)-3(x-4)=5(x-3)

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Solution for 6(x-2)-3(x-4)=5(x-3) equation:


6(x-2)-3(x-4)=5(x-3)

We simplify the equation to the form, which is simple to understand 
6(x-2)-3(x-4)=5(x-3)

Reorder the terms in parentheses
+(+6x-12)-3*(x-4)=5*(x-3)

Remove unnecessary parentheses
+6x-12-3+*(+x-4+)=+5+*(+x-3+)

Reorder the terms in parentheses
+6x-12+(-3x+12)=5*(x-3)

Remove unnecessary parentheses
+6x-12-3x+12=+5+*(+x-3+)

Reorder the terms in parentheses
+6x-12-3x+12=+(+5x-15)

Remove unnecessary parentheses
+6x-12-3x+12=+5x-15

We move all terms containing x to the left and all other terms to the right. 
+6x-3x-5x=-15+12-12

We simplify left and right side of the equation. 
-2x=-15

We divide both sides of the equation by -2 to get x. 
x=7.5

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