## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Using the order of operations and the properties of equality, the solution to the given equation, $-2[3(x-2)+4]=4(5-x)-2x$, is \begin{array}{l} -2[3x-6+4]=20-4x-2x \\\\ -2[3x-2]=20-6x \\\\ -6x+4=20-6x \\\\ -6x+6x=20-4 \\\\ 0=16 \text{ (FALSE)} .\end{array} Since the solution above ended with a FALSE statement, then the given equation is $\text{ a contradiction }$.