Answer
$$x = 10$$
Work Step by Step
The first step to solving this equation is to get rid of the fractions. To do this, you multiply by the least common denominator for all terms, which, in this case, is $10$:
$$10(\frac{x}{2}) - 10(3) = 10(\frac{x}{5})$$
Divide out common factors:
$$5x - 10(3) = 2x$$
Subtract $2x$ from both sides of the equation to isolate the variable to one side:
$$3x - 10(3) = 0$$
Simplify the constant term:
$$3x - 30 = 0$$
Add $30$ to both sides of the equation to isolate the constant on one side:
$$3x = 30$$
Divide both sides by $3$ to solve for $x$:
$$x = 10$$
