Which of the following equations has a different value of x

Let's solve each equation for \( x \) to determine which one has a different value.

1. Equation 1:
   \( x - 0.025 = 0.6 \)
   \( x = 0.6 + 0.025 = 0.625 \)

2. Equation 2:
   \( x - \frac{7}{8} = -\frac{3}{2} \)
   First, convert \(-\frac{3}{2}\) to eighths:
   \(-\frac{3}{2} = -\frac{12}{8}\)
   So, \( x - \frac{7}{8} = -\frac{12}{8} \)
   \( x = -\frac{12}{8} + \frac{7}{8} = -\frac{5}{8} \)

3. Equation 3:
   \( x + \frac{9}{8} = \frac{7}{4} \)
   First, convert \(\frac{7}{4}\) to eighths:
   \(\frac{7}{4} = \frac{14}{8}\)
   So, \( x + \frac{9}{8} = \frac{14}{8} \)
   \( x = \frac{14}{8} - \frac{9}{8} = \frac{5}{8} \)

4. Equation 4:
   \( x + 0.875 = 1.5 \)
   Since \( 0.875 = \frac{7}{8} \) and \( 1.5 = \frac{3}{2} \):
   \( x + \frac{7}{8} = \frac{3}{2} = \frac{12}{8} \)
   \( x = \frac{12}{8} - \frac{7}{8} = \frac{5}{8} \)

Now, summarizing the values of \( x \):

1. From Equation 1: \( x = 0.625 \)
2. From Equation 2: \( x = -\frac{5}{8} \)
3. From Equation 3: \( x = \frac{5}{8} \)
4. From Equation 4: \( x = \frac{5}{8} \)

The values are:

• Equation 1: \( 0.625 \)
• Equation 2: \( -0.625 \) (which is \( -\frac{5}{8} \))
• Equation 3: \( 0.625 \) (which is \( \frac{5}{8} \))
• Equation 4: \( 0.625 \) (which is \( \frac{5}{8} \))

Since equation 2 gives a different value of \( x \), it is the equation with a different solution.

Answer: \( x - \frac{7}{8} = -\frac{3}{2} \)