Answer
$x=-\frac{4}{5}$
Work Step by Step
$5x+1=-3$ $\longrightarrow$addition property
$5x+1-1=-3-1$ $\longrightarrow$combine like terms
$5x=-4$ $\longrightarrow$multiplication property
$5x\div5=-4\div5$ $\longrightarrow$simplify
$x=-\frac{4}{5}$