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(12)(1-3x)-(23) (1-2x)=(14) (1+x)-(16) (1-x)
We simplify the equation to the form, which is simple to understand
(12)*(1-3x)-(23)*(1-2x)=(14)*(1+x)-(16)*(1-x)
Reorder the terms in parentheses
multiplication of parentheses
(+12-36x)-(23)*(1-2x)=(14)*(1+x)-(16)*(1-x)
Remove unnecessary parentheses
+12-36x-(23)*(1-2x)=(14)*(1+x)-(16)*(1-x)
Reorder the terms in parentheses
multiplication of parentheses
+12-36x-(+23-46x)=(14)*(1+x)-(16)*(1-x)
Remove unnecessary parentheses
+12-36x-23+46x=(14)*(1+x)-(16)*(1-x)
Reorder the terms in parentheses
multiplication of parentheses
+12-36x-23+46x=(+14+14x)-(16)*(1-x)
Remove unnecessary parentheses
+12-36x-23+46x=+14+14x-(16)*(1-x)
Reorder the terms in parentheses
multiplication of parentheses
+12-36x-23+46x=+14+14x-(+16-16x)
Remove unnecessary parentheses
+12-36x-23+46x=+14+14x-16+16x
We move all terms containing x to the left and all other terms to the right.
-36x+46x-14x-16x=+14-16-12+23
We simplify left and right side of the equation.
-20x=+9
We divide both sides of the equation by -20 to get x.
x=-0.45
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