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3(4x-7)-(5x-9)=3(x-4)+4x
We simplify the equation to the form, which is simple to understand
3(4x-7)-(5x-9)=3(x-4)+4x
Reorder the terms in parentheses
+(+12x-21)-(5x-9)=3*(x-4)+4x
Remove unnecessary parentheses
+12x-21-(+5x-9+)=+3+*(+x-4+)+4x
Remove unnecessary parentheses
+12x-21-5x+9=3*(x-4)+4x
Reorder the terms in parentheses
+12x-21-5x+9=+(+3x-12)+4x
Remove unnecessary parentheses
+12x-21-5x+9=+3x-12+4x
We move all terms containing x to the left and all other terms to the right.
+12x-5x-3x-4x=-12+21-9
We simplify left and right side of the equation.
0x=0
0=0
This equation is an identity, so all real numbers are solutions.
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