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6(3-2x)+4(5x-2)=2(x-4)+5(4-3x)
We simplify the equation to the form, which is simple to understand
6(3-2x)+4(5x-2)=2(x-4)+5(4-3x)
Reorder the terms in parentheses
+(+18-12x)+4*(5x-2)=2*(x-4)+5*(4-3x)
Remove unnecessary parentheses
+18-12x+4+*(+5x-2+)=+2+*(+x-4+)+5+*(+4-3x+)
Reorder the terms in parentheses
+18-12x+(+20x-8)=2*(x-4)+5*(4-3x)
Remove unnecessary parentheses
+18-12x+20x-8=+2+*(+x-4+)+5+*(+4-3x+)
Reorder the terms in parentheses
+18-12x+20x-8=+(+2x-8)+5*(4-3x)
Remove unnecessary parentheses
+18-12x+20x-8=+2x-8+5+*(+4-3x+)
Reorder the terms in parentheses
+18-12x+20x-8=+2x-8+(+20-15x)
Remove unnecessary parentheses
+18-12x+20x-8=+2x-8+20-15x
We move all terms containing x to the left and all other terms to the right.
-12x+20x-2x+15x=-8+20-18+8
We simplify left and right side of the equation.
+21x=+2
We divide both sides of the equation by 21 to get x.
x=0.095238095238095
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