Question

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

X+0.875=1.5
X+9/8=7/4
X-0.025=0.6
X-7/8=-3/2

Which one is the right answer

Answer 1

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