Answer
$x=-5$
Work Step by Step
$-\frac{3}{5}x+1=4$
First we move the +1 to the other side of the equation to isolate the "x" on one side. Moving the +1 will cause it to become negative.
$-\frac{3}{5}x=4-1$
$-\frac{3}{5}x=3$
Then we will multiply the equation by -\frac{5}{3} so we could get the value of the single "x"
$-\frac{3}{5}x=3 /\times(-\frac{5}{3})$
$-\frac{3}{5}\times(-\frac{5}{3})x=3\times(-\frac{5}{3})$
$x=-5$
We can also check if our result is correct by substituting our "x" in the original equation...
$-\frac{3}{5}\times(-5)+1=4$
$3+1=4$
$4=4$