Simplify \(\frac{1}{2}(x+8)\) to \(\frac{x+8}{2}\).
\[\frac{x+8}{2}=\frac{3}{10}-\frac{1}{5}(x+6)\]
Simplify \(\frac{1}{5}(x+6)\) to \(\frac{x+6}{5}\).
\[\frac{x+8}{2}=\frac{3}{10}-\frac{x+6}{5}\]
Multiply both sides by \(10\) (the LCM of \(2, 5\)).
\[5(x+8)=3-2(x+6)\]
Expand.
\[5x+40=3-2x-12\]
Simplify \(3-2x-12\) to \(-2x-9\).
\[5x+40=-2x-9\]
Add \(2x\) to both sides.
\[5x+40+2x=-9\]
Simplify \(5x+40+2x\) to \(7x+40\).
\[7x+40=-9\]
Subtract \(40\) from both sides.
\[7x=-9-40\]
Simplify \(-9-40\) to \(-49\).
\[7x=-49\]
Divide both sides by \(7\).
\[x=-\frac{49}{7}\]
Simplify \(\frac{49}{7}\) to \(7\).
\[x=-7\]
x=-7
