Which of the following equations has a different value of x

Question

than the others?(1 point)
Responses

x − 78 = −32
x minus Start Fraction 7 over 8 End Fraction equals negative Start Fraction 3 over 2 End Fraction

x + 0.875 = 1.5
x plus 0.875 equals 1.5

x + 98 = 74
x plus Start Fraction 9 over 8 End Fraction equals Start Fraction 7 over 4 End Fraction

x − 0.025 = 0.6

Answer 1

Let's solve each equation to find the value of \( x \):

1. Equation 1:
   \( x - 78 = -32 \)
   \( x = -32 + 78 \)
   \( x = 46 \)

2. Equation 2:
   \( x - \frac{7}{8} = -\frac{3}{2} \)
   To solve for \( x \):
   \( x = -\frac{3}{2} + \frac{7}{8} \)
   Convert \( -\frac{3}{2} \) to eight as a common denominator:
   \( -\frac{3}{2} = -\frac{12}{8} \)
   Thus,
   \( x = -\frac{12}{8} + \frac{7}{8} = -\frac{5}{8} \)

3. Equation 3:
   \( x + 0.875 = 1.5 \)
   \( x = 1.5 - 0.875 \)
   \( x = 0.625 \)

4. Equation 4:
   \( x + 98 = 74 \)
   \( x = 74 - 98 \)
   \( x = -24 \)

5. Equation 5:
   \( x - 0.025 = 0.6 \)
   \( x = 0.6 + 0.025 \)
   \( x = 0.625 \)

Now, we have the solutions for each equation:

• Equation 1: \( x = 46 \)
• Equation 2: \( x = -\frac{5}{8} \)
• Equation 3: \( x = 0.625 \)
• Equation 4: \( x = -24 \)
• Equation 5: \( x = 0.625 \)

The values for \( x \) are:

• \( 46 \)
• \( -\frac{5}{8} \) (which is approximately \( -0.625 \))
• \( 0.625 \)
• \( -24 \)

Unique value of \( x \):
The equation with a different \( x \) value is Equation 1 (\( x - 78 = -32 \)) with \( x = 46 \).

Thus, the answer is Equation 1.