Solve for x: 20x−5(6x+15)=−45.(1 point) Responses x=3 x equals 3 x=−3 x equals negative 3 x=2 x equals 2 x=−2 x equals negative 2

Answer 1

To solve the equation \( 20x - 5(6x + 15) = -45 \), we will first distribute the \( -5 \) to the terms inside the parentheses.

\[ 20x - 5(6x + 15) = 20x - 30x - 75 \]

Now, simplify the left side:

\[ 20x - 30x - 75 = -10x - 75 \]

So, the equation now looks like:

\[ -10x - 75 = -45 \]

Next, we will add \( 75 \) to both sides of the equation:

\[ -10x - 75 + 75 = -45 + 75 \] \[ -10x = 30 \]

Now, divide both sides by \( -10 \):

\[ x = \frac{30}{-10} = -3 \]

Thus, the solution is:

\[ x = -3 \]

So, the answer is x = -3.