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3(x-1)-(4x+2)=(6x+3)-4(3x-7)
We simplify the equation to the form, which is simple to understand
3(x-1)-(4x+2)=(6x+3)-4(3x-7)
Reorder the terms in parentheses
+(+3x-3)-(4x+2)=(6x+3)-4*(3x-7)
Remove unnecessary parentheses
+3x-3-(+4x+2+)=+(+6x+3+)-4+*(+3x-7+)
Remove unnecessary parentheses
+3x-3-4x-2=(6x+3)-4*(3x-7)
Remove unnecessary parentheses
+3x-3-4x-2=6x+3-4*(3x-7)
Reorder the terms in parentheses
+3x-3-4x-2=6x+3+(-12x+28)
Remove unnecessary parentheses
+3x-3-4x-2=+6x+3-12x+28
We move all terms containing x to the left and all other terms to the right.
+3x-4x-6x+12x=+3+28+3+2
We simplify left and right side of the equation.
+5x=+36
We divide both sides of the equation by 5 to get x.
x=7.2
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