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3(9-x)+2(2x+5)=3(4x-7)+6
We simplify the equation to the form, which is simple to understand
3(9-x)+2(2x+5)=3(4x-7)+6
Reorder the terms in parentheses
+(+27-3x)+2*(2x+5)=3*(4x-7)+6
Remove unnecessary parentheses
+27-3x+2+*(+2x+5+)=+3+*(+4x-7+)+6
Reorder the terms in parentheses
+27-3x+(+4x+10)=3*(4x-7)+6
Remove unnecessary parentheses
+27-3x+4x+10=+3+*(+4x-7+)+6
Reorder the terms in parentheses
+27-3x+4x+10=+(+12x-21)+6
Remove unnecessary parentheses
+27-3x+4x+10=+12x-21+6
We move all terms containing x to the left and all other terms to the right.
-3x+4x-12x=-21+6-27-10
We simplify left and right side of the equation.
-11x=-52
We divide both sides of the equation by -11 to get x.
x=4.72727272727
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