Solve the given linear equation using multiplication and division properties of equality.
$-8x=64$

• A. $x=64$
• B. $x=-64$
• C. $x=-8$
• D. $x=8$

Answer: (C)

Verified step by step guidance

1. Start with the given linear equation: \(-8x = 64\).
2. To isolate \(x\), use the multiplication property of equality by multiplying both sides of the equation by the reciprocal of \(-8\), which is \(-\frac{1}{8}\).
3. Multiply both sides: \(\left(-\frac{1}{8}\right)(-8x) = \left(-\frac{1}{8}\right)(64)\).
4. Simplify the left side: \(\left(-\frac{1}{8}\right)(-8x) = x\) because \(-\frac{1}{8} \times -8 = 1\).
5. Simplify the right side by multiplying \$64\( by \)-\frac{1}{8}\( to find the value of \)x$.