Question

$$|x-5|=3 \frac{ 2 }{ 3 }$$

Answer

x=3,7

Solution


Cancel \(3\).
\[|x-5|=2\]
Break down the problem into these 2 equations.
\[x-5=2\]
\[-(x-5)=2\]
Solve the 1st equation: \(x-5=2\).
\[x=7\]
Solve the 2nd equation: \(-(x-5)=2\).
\[x=3\]
Collect all solutions.
\[x=3,7\]