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

• A. $x=\frac{5}{8}$
• B. $x=-\frac{5}{8}$
• 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 \(x\), subtract \(\frac{2}{8}\) from both sides of the equation using the subtraction property of equality: \(x + \frac{2}{8} - \frac{2}{8} = -\frac{3}{8} - \frac{2}{8}\).
3. Simplify the left side by canceling out \(\frac{2}{8}\), leaving \(x\) alone: \(x = -\frac{3}{8} - \frac{2}{8}\).
4. Combine the fractions on the right side since they have the same denominator: \(x = \frac{-3 - 2}{8}\).
5. Simplify the numerator to find the value of \(x\): \(x = \frac{-5}{8}\).