Which of following equations has a different value of x than others

Let's solve each equation for \( x \):

1. Equation 1: \[ x + 0.875 = 1.5 \] Subtracting \( 0.875 \) from both sides: \[ x = 1.5 - 0.875 = 0.625 \]

2. Equation 2: \[ x + \frac{9}{8} = \frac{7}{4} \] Converting \( \frac{7}{4} \) to eighths: \[ \frac{7}{4} = \frac{14}{8} \] Now, subtract \( \frac{9}{8} \) from both sides: \[ x = \frac{14}{8} - \frac{9}{8} = \frac{5}{8} = 0.625 \]

3. Equation 3: \[ x - 0.025 = 0.6 \] Adding \( 0.025 \) to both sides: \[ x = 0.6 + 0.025 = 0.625 \]

4. Equation 4: \[ x - \frac{7}{8} = -\frac{3}{2} \] Converting \( -\frac{3}{2} \) to eighths: \[ -\frac{3}{2} = -\frac{12}{8} \] Adding \( \frac{7}{8} \) to both sides: \[ x = -\frac{12}{8} + \frac{7}{8} = -\frac{5}{8} = -0.625 \]

Now, we have the values of \( x \) from each equation:

1. From Equation 1: \( x = 0.625 \)
2. From Equation 2: \( x = 0.625 \)
3. From Equation 3: \( x = 0.625 \)
4. From Equation 4: \( x = -0.625 \)

The equation that results in a different value of \( x \) is Equation 4. So the answer is:

Equation 4: \( x - \frac{7}{8} = -\frac{3}{2} \).