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5x-4(3-2x)=2(3x-2)+6
We simplify the equation to the form, which is simple to understand
5x-4(3-2x)=2(3x-2)+6
Reorder the terms in parentheses
5x+(-12+8x)=2*(3x-2)+6
Remove unnecessary parentheses
+5x-12+8x=+2+*(+3x-2+)+6
Reorder the terms in parentheses
5x-12+8x=+(+6x-4)+6
Remove unnecessary parentheses
+5x-12+8x=+6x-4+6
We move all terms containing x to the left and all other terms to the right.
+5x+8x-6x=-4+6+12
We simplify left and right side of the equation.
+7x=+14
We divide both sides of the equation by 7 to get x.
x=2
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