Answer
$x=3$
Work Step by Step
Start with the given equation: $5(2x-3)=15$
We use the distributive property to expand the left side of the equation: $10x-15=15$
We add $15$ to both sides of the equation: $10x=15+15$
We combine like terms: $10x=30$
We divide by $10$ on both sides of the equation: $x=\frac{30}{10}=3$