Solve for x

Question

: 20x−5(6x+15)=−45
.(1 point)
Responses

x=−2
x equals negative 2

x=2
x equals 2

x=3
x equals 3

x=−3

Answer 1

To solve the equation $20x-5(6x+15)=-45$, let's follow the steps:

1. Distribute the $-5$ in the equation: $$20x-5\cdot 6x-5\cdot 15=-45$$ This simplifies to: $$20x-30x-75=-45$$

2. Combine like terms: $$(20x-30x)-75=-45$$ This reduces to: $$-10x-75=-45$$

3. Add $75$ to both sides: $$-10x-75+75=-45+75$$ This simplifies to: $$-10x=30$$

4. Divide by $-10$: $$x=\frac{30}{-10}$$ Thus, we get: $$x=-3$$

The solution is: $$\boxed{{\displaystyle x=-3}}$$

So the correct response is $x=-3$.