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12x-3(2+4x)+5x+2=4(x+1)-2(3x+1)+2x
We simplify the equation to the form, which is simple to understand
12x-3(2+4x)+5x+2=4(x+1)-2(3x+1)+2x
Reorder the terms in parentheses
12x+(-6-12x)+5x+2=4*(x+1)-2*(3x+1)+2x
Remove unnecessary parentheses
+12x-6-12x+5x+2=+4+*(+x+1+)-2+*(+3x+1+)+2x
Reorder the terms in parentheses
12x-6-12x+5x+2=+(+4x+4)-2*(3x+1)+2x
Remove unnecessary parentheses
+12x-6-12x+5x+2=+4x+4-2+*(+3x+1+)+2x
Reorder the terms in parentheses
12x-6-12x+5x+2=+4x+4+(-6x-2)+2x
Remove unnecessary parentheses
+12x-6-12x+5x+2=+4x+4-6x-2+2x
We move all terms containing x to the left and all other terms to the right.
+12x-12x+5x-4x+6x-2x=+4-2+6-2
We simplify left and right side of the equation.
+5x=+6
We divide both sides of the equation by 5 to get x.
x=1.2
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