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6(2x+3)-5(4x-1)=2(3x-7)+3(5x-7)
We simplify the equation to the form, which is simple to understand
6(2x+3)-5(4x-1)=2(3x-7)+3(5x-7)
Reorder the terms in parentheses
+(+12x+18)-5*(4x-1)=2*(3x-7)+3*(5x-7)
Remove unnecessary parentheses
+12x+18-5+*(+4x-1+)=+2+*(+3x-7+)+3+*(+5x-7+)
Reorder the terms in parentheses
+12x+18+(-20x+5)=2*(3x-7)+3*(5x-7)
Remove unnecessary parentheses
+12x+18-20x+5=+2+*(+3x-7+)+3+*(+5x-7+)
Reorder the terms in parentheses
+12x+18-20x+5=+(+6x-14)+3*(5x-7)
Remove unnecessary parentheses
+12x+18-20x+5=+6x-14+3+*(+5x-7+)
Reorder the terms in parentheses
+12x+18-20x+5=+6x-14+(+15x-21)
Remove unnecessary parentheses
+12x+18-20x+5=+6x-14+15x-21
We move all terms containing x to the left and all other terms to the right.
+12x-20x-6x-15x=-14-21-18-5
We simplify left and right side of the equation.
-29x=-58
We divide both sides of the equation by -29 to get x.
x=2
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