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 \(x\), 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, which leaves you with \(x\), and combine the fractions on the right side by subtracting their numerators since they have the same denominator: \(x = \frac{-3 - 2}{8}\).
4. Perform the subtraction in the numerator to get a single fraction: \(x = \frac{-5}{8}\).
5. The solution is \(x = -\frac{5}{8}\), which means \(x\) is isolated and expressed as a simplified fraction.