\( |1-x|=\begin{cases}1-x\,\,\text{nếu}\,\,1-x≥0\,\,\text{hay}\,\,x≤1\\x-1\,\,\text{nếu}\,\,1-x<0\,\,\text{hay}\,\,x>1\end{cases}\\\text{Xét}\,\, x≤1\\→2-2(1-x)=7+2x\\↔2-2+2x=7+2x\\↔2x-2x=7-2+2\\↔0=7\\→x∈\varnothing\,\,\text{với}\,\,x≤1\\\text{Xét}\,\,x>1\\→2-2(x-1)=7+2x\\↔2-2x+2=7+2x\\↔-2x-2x=7-2-2\\↔-4x=-3\\↔x=\dfrac{3}{4}(KTM)\\\text{Suy ra: Pt vô nghiệm}\)