Answer
$x=-64$.
Work Step by Step
The given expression is
$\Rightarrow \frac{1}{5}x+6=\frac{2}{5}(3)-8$
Clear the parentheses.
$\Rightarrow \frac{1}{5}x+6=\frac{6}{5}-8$
Multiply by the LCD $=5$.
$\Rightarrow 5\left ( \frac{1}{5}x+6 \right )=5\left (\frac{6}{5}-8\right )$
Use distributive property.
$\Rightarrow 5\left ( \frac{1}{5}x\right )+5\left ( 6 \right )=5\left (\frac{6}{5}\right )-5(8)$
Simplify.
$\Rightarrow x+30=6-40$
Add like terms.
$\Rightarrow x+30=-34$
Subtract $30$ from both sides.
$\Rightarrow x+30-30=-34-30$
Simplify.
$\Rightarrow x=-64$.
