Solve the given linear equation using addition and subtraction properties of equality.
$x+\frac{2}{8}=-\frac{3}{8}$

• A. $x=\frac58$
• B. $x=-\frac58$
• C. $x=5$
• D. $x=-5$

Answer: (B)

Verified step by step guidance

1. Start with the given equation: \(x + \frac{2}{8} = -\frac{3}{8}\).
2. To isolate \(x\), use the subtraction property of equality by subtracting \(\frac{2}{8}\) from both sides of the equation: \(x + \frac{2}{8} - \frac{2}{8} = -\frac{3}{8} - \frac{2}{8}\).
3. Simplify the left side since \(\frac{2}{8} - \frac{2}{8} = 0\), so you have \(x = -\frac{3}{8} - \frac{2}{8}\).
4. Combine the fractions on the right side by subtracting the numerators while keeping the denominator the same: \(x = \frac{-3 - 2}{8}\).
5. Simplify the numerator to get the final expression for \(x\) in terms of a single fraction.