Question

solve for x: 20x - 5(6x + 15) = -45. (1 point)
○ x = -2
○ x = 3
○ x = -3
○ x = 2

Explanation:

Step1: Distribute the -5

First, we distribute the -5 into the parentheses: \(20x - 5(6x + 15) = 20x - 30x - 75\)

Step2: Combine like terms

Combine the \(x\)-terms: \(20x - 30x = -10x\), so the equation becomes \(-10x - 75 = -45\)

Step3: Add 75 to both sides

Add 75 to both sides to isolate the term with \(x\): \(-10x - 75 + 75 = -45 + 75\), which simplifies to \(-10x = 30\)

Step4: Divide by -10

Divide both sides by -10: \(\frac{-10x}{-10} = \frac{30}{-10}\), so \(x = -3\)

Answer:

\(x = -3\) (corresponding to the option "x = -3")