Question

1. solve $-5x = 30$. $x = 6$ $x = -25$ $x = 35$ $x = -6$

Explanation:

Step1: Divide both sides by -5

To solve for \( x \) in the equation \( -5x = 30 \), we divide both sides of the equation by \( -5 \). This is because we want to isolate \( x \), and dividing by the coefficient of \( x \) (which is \( -5 \)) will give us the value of \( x \). The operation is:
\[
\frac{-5x}{-5} = \frac{30}{-5}
\]

Step2: Simplify both sides

Simplifying the left side, \( \frac{-5x}{-5} \) simplifies to \( x \) because the \( -5 \) in the numerator and denominator cancel out. Simplifying the right side, \( \frac{30}{-5} \) is equal to \( -6 \) because a positive number divided by a negative number gives a negative result, and \( 30 \div 5 = 6 \), so \( 30 \div (-5) = -6 \). So we have:
\[
x = -6
\]

Answer:

\( x = -6 \) (corresponding to the option: \( x = -6 \))