Answer
$x=5$
Work Step by Step
In order to solve this algebraic expression, we must isolate the variable. A variable is the letter in the problem (for instance, in the equation 2x=10, x is the variable). Because multiplication and division are inverse operations (they cancel each other out), we know we must divide when a number is being multiplied by the variable and multiply when the variable is being divided by a number.
In the equation $-5x=-25$, we must get rid of the -5, which the variable is being multiplied by, in order to solve. Thus, we divide both sides by -5 to find that $x=5$.