Subtract \(3\) from both sides.
\[2|x+5|=7-3\]
Simplify \(7-3\) to \(4\).
\[2|x+5|=4\]
Divide both sides by \(2\).
\[|x+5|=\frac{4}{2}\]
Simplify \(\frac{4}{2}\) to \(2\).
\[|x+5|=2\]
Break down the problem into these 2 equations.
\[x+5=2\]
\[-(x+5)=2\]
Solve the 1st equation: \(x+5=2\).
Subtract \(5\) from both sides.
\[x=2-5\]
Simplify \(2-5\) to \(-3\).
\[x=-3\]
\[x=-3\]
Solve the 2nd equation: \(-(x+5)=2\).
Remove parentheses.
\[-x-5=2\]
Add \(5\) to both sides.
\[-x=2+5\]
Simplify \(2+5\) to \(7\).
\[-x=7\]
Multiply both sides by \(-1\).
\[x=-7\]
\[x=-7\]
Collect all solutions.
\[x=-7,-3\]
x=-7,-3
