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2(x-3)2-3=(8-3x)2
We simplify the equation to the form, which is simple to understand
2(x-3)2-3=(8-3x)2
Reorder the terms in parentheses
+(+2x-6)*2-3=(8-3x)*2
Reorder the terms in parentheses
+(+4x-12)-3=(8-3x)*2
Remove unnecessary parentheses
+4x-12-3=+(+8-3x+)+*2
Reorder the terms in parentheses
+4x-12-3=(+16-6x)
Remove unnecessary parentheses
+4x-12-3=+16-6x
We move all terms containing x to the left and all other terms to the right.
+4x+6x=+16+12+3
We simplify left and right side of the equation.
+10x=+31
We divide both sides of the equation by 10 to get x.
x=3.1
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