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5(x-2)+x=6(x-3)-4x
We simplify the equation to the form, which is simple to understand
5(x-2)+x=6(x-3)-4x
Reorder the terms in parentheses
+(+5x-10)+x=6*(x-3)-4x
Remove unnecessary parentheses
+5x-10+x=+6+*(+x-3+)-4x
Reorder the terms in parentheses
+5x-10+x=+(+6x-18)-4x
Remove unnecessary parentheses
+5x-10+x=+6x-18-4x
We move all terms containing x to the left and all other terms to the right.
+5x+1x-6x+4x=-18+10
We simplify left and right side of the equation.
+4x=-8
We divide both sides of the equation by 4 to get x.
x=-2
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