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=4/2
Solve.
4/2=2
|x-3|=2
x-3=-2 and x-3=2
x-3=-2
Add 3 from both sides.
x-3+3=-2+3
Solve.
-2+3=-1
X=1
x-3=2
Add 3 from both sides.
x-3+3=2+3
Solve.
Add the numbers from left to right.
2+3=5
X=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.
