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