Subtract \(10\) from both sides.
\[|5x|=5-10\]
Simplify \(5-10\) to \(-5\).
\[|5x|=-5\]
Break down the problem into these 2 equations.
\[5x=-5\]
\[-5x=-5\]
Solve the 1st equation: \(5x=-5\).
Divide both sides by \(5\).
\[x=-1\]
\[x=-1\]
Solve the 2nd equation: \(-5x=-5\).
Divide both sides by \(-5\).
\[x=1\]
\[x=1\]
Collect all solutions.
\[x=\pm 1\]
Check solution
When \(x=-1\), the original equation \(|5x|+10=5\) does not hold true.We will drop \(x=-1\) from the solution set.
Check solution
When \(x=1\), the original equation \(|5x|+10=5\) does not hold true.We will drop \(x=1\) from the solution set.
Therefore,
[No Solution]
