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2(3x-7)-3(8x-2)=5x-2(3x-5x-4)/6
We simplify the equation to the form, which is simple to understand
2(3x-7)-3(8x-2)=5x-2(3x-5x-4)/6
Reorder the terms in parentheses
+(+6x-14)-3*(8x-2)=5x-2*(-4-2x)/6
Remove unnecessary parentheses
+6x-14-3+*(+8x-2+)=+5x-2+*(-4-2x+)+/6
Reorder the terms in parentheses
+6x-14+(-24x+6)=5x-2*(-4-2x)/6
Remove unnecessary parentheses
+6x-14-24x+6=+5x-2+*(-4-2x+)+/6
Reorder the terms in parentheses
+6x-14-24x+6=5x+(+8+4x)/6
Reorder the terms in parentheses
+6x-14-24x+6=5x+(+1.3333333333333 + 0.66666666666667x)
Remove unnecessary parentheses
+6x-14-24x+6=+5x+1.3333333333333 + 0.66666666666667x
We move all terms containing x to the left and all other terms to the right.
+6x-24x-5x-0.66666666666667x=+1.3333333333333+14-6
We simplify left and right side of the equation.
-23.666666666667x=+9.3333333333333
We divide both sides of the equation by -23.666666666667 to get x.
x=-0.3943661971831
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