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