Answer
A variable is a symbol that could represent any number.
Ex.: $x$
A variable expression contains a variable with constant that will always affect it.
Ex.: $3x+5$
An equation has two expressions on opposite sides of an equal sign, which says that the two expressions will also be equal to each other.
Example: $3x+5=x-3$
Work Step by Step
Variable: $x$ can equal anything, from 4, to 9, to 99, or even an expression, such as $2x-2$.
Variable expression: An expression is a combination of variables (i.e. $x$, $y$) and constants (i.e. 3,5).
Equation: An equation is stating that two expressions are equal, such as $9x$ being equal to 10 making $9x=10$.