Answer:[tex]\Huge\boxed{\mathsf{\longrightarrow X=1 \quad or \quad X=5}}}}[/tex]Step-by-step explanation:Isolate x on one side of the equation.First, divide by 2 from both sides.2|x-3|/2=4/2Solve.4/2=2|x-3|=2x-3=-2 and x-3=2x-3=-2Add 3 from both sides.x-3+3=-2+3Solve.-2+3=-1X=1x-3=2Add 3 from both sides.x-3+3=2+3Solve.Add the numbers from left to right.2+3=5X=5[tex]\Large\boxed{\mathsf{X=1 \quad or \quad X=5}}}[/tex]As a result, the final answer is x=1 and x=5.