Answer
The expression is evaluated to $240$.
Work Step by Step
We first need to solve the equation to find out what $x$ is.
We will multiply the entire equation by the least common denominator in order to get rid of the fractions. The least common denominator is $15$, so we multiply the entire equation by $15$:
$$15(\frac{x}{5}) - 15(2) = 15(\frac{x}{3})$$
Divide out common factors to get rid of the fractions:
$$3x - 30 = 5x$$
Subtract $3x$ from each side to get:
$$-30 = 2x$$
Solve for $x$:
$$x = -15$$
Now that we have the value for $x$, we can plug it into the expression $x^{2} - x$:
$$(-15)^{2} - (-15)$$
We square $-15$ first to get:
$$225 - (-15)$$
A negative and a negative make a positive, so we can rewrite the expression as follows:
$$225 + 15$$
The expression evaluates to $$240$$.
