Answer
$x>5$.
Work Step by Step
The given inequality is
$\Rightarrow 8x+1>-2x+51$
Add $2x$ to both sides.
$\Rightarrow 8x+1+2x>-2x+51+2x$
Simplify.
$\Rightarrow 10x+1>51$
Substract $1$ from both sides.
$\Rightarrow 10x+1-1>51-1$
Simplify.
$\Rightarrow 10x>50$
Divide both sides by $10$.
$\Rightarrow \frac{10x}{10}>\frac{50}{10}$
Simplify.
$\Rightarrow x>5$.
