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5(3x-7)-3 (x-9)=4 (3x-2)
We simplify the equation to the form, which is simple to understand
5(3x-7)-3(x-9)=4(3x-2)
Reorder the terms in parentheses
+(+15x-35)-3*(x-9)=4*(3x-2)
Remove unnecessary parentheses
+15x-35-3+*(+x-9+)=+4+*(+3x-2+)
Reorder the terms in parentheses
+15x-35+(-3x+27)=4*(3x-2)
Remove unnecessary parentheses
+15x-35-3x+27=+4+*(+3x-2+)
Reorder the terms in parentheses
+15x-35-3x+27=+(+12x-8)
Remove unnecessary parentheses
+15x-35-3x+27=+12x-8
We move all terms containing x to the left and all other terms to the right.
+15x-3x-12x=-8+35-27
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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