Switch sides.
Break down the problem into these 2 equations.
Solve the 1st equation: \(5=8|2x+4|\).
Divide both sides by \(8\).
\[\frac{5}{8}=|2x+4|\]
Break down the problem into these 2 equations.
\[\frac{5}{8}=2x+4\]
\[\frac{5}{8}=-(2x+4)\]
Solve the 1st equation: \(\frac{5}{8}=2x+4\).
Subtract \(4\) from both sides.
\[\frac{5}{8}-4=2x\]
Simplify \(\frac{5}{8}-4\) to \(-\frac{27}{8}\).
\[-\frac{27}{8}=2x\]
Divide both sides by \(2\).
\[-\frac{\frac{27}{8}}{2}=x\]
Simplify \(\frac{\frac{27}{8}}{2}\) to \(\frac{27}{8\times 2}\).
\[-\frac{27}{8\times 2}=x\]
Simplify \(8\times 2\) to \(16\).
\[-\frac{27}{16}=x\]
Switch sides.
\[x=-\frac{27}{16}\]
\[x=-\frac{27}{16}\]
Solve the 2nd equation: \(\frac{5}{8}=-(2x+4)\).
Remove parentheses.
\[\frac{5}{8}=-2x-4\]
Add \(4\) to both sides.
\[\frac{5}{8}+4=-2x\]
Simplify \(\frac{5}{8}+4\) to \(\frac{37}{8}\).
\[\frac{37}{8}=-2x\]
Divide both sides by \(-2\).
\[-\frac{\frac{37}{8}}{2}=x\]
Simplify \(\frac{\frac{37}{8}}{2}\) to \(\frac{37}{8\times 2}\).
\[-\frac{37}{8\times 2}=x\]
Simplify \(8\times 2\) to \(16\).
\[-\frac{37}{16}=x\]
Switch sides.
\[x=-\frac{37}{16}\]
\[x=-\frac{37}{16}\]
Collect all solutions.
\[x=-\frac{37}{16},-\frac{27}{16}\]
Solve the 2nd equation: \(5=x\).
Collect all solutions.
