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------------------------------------------------ Which equation, when solved, results in a different value of [tex]$x$[/tex] than the other three?

A. [tex]8.3 = -0.6x + 11.3[/tex]

B. [tex]11.3 = 8.3 + 0.6x[/tex]

C. [tex]11.3 - 0.6x = 8.3[/tex]

D. [tex]8.3 - 0.6x = 11.3[/tex]

To solve the problem of identifying which equation results in a different value of [tex]$ x $[/tex] compared to the others, we'll look at each equation individually and solve for [tex]$ x $[/tex].

1. Equation 1:
[tex]\[ 8.3 = -0.6x + 11.3 \][/tex]

- First, subtract 11.3 from both sides to get:
[tex]\[ 8.3 - 11.3 = -0.6x \][/tex]
[tex]\[ -3 = -0.6x \][/tex]

- Next, divide both sides by -0.6:
[tex]\[ x = \frac{-3}{-0.6} \][/tex]
[tex]\[ x = 5 \][/tex]

2. Equation 2:
[tex]\[ 11.3 = 8.3 + 0.6x \][/tex]

- Subtract 8.3 from both sides:
[tex]\[ 11.3 - 8.3 = 0.6x \][/tex]
[tex]\[ 3 = 0.6x \][/tex]

- Divide both sides by 0.6:
[tex]\[ x = \frac{3}{0.6} \][/tex]
[tex]\[ x = 5 \][/tex]

3. Equation 3:
[tex]\[ 11.3 - 0.6x = 8.3 \][/tex]

- Subtract 11.3 from both sides:
[tex]\[ -0.6x = 8.3 - 11.3 \][/tex]
[tex]\[ -0.6x = -3 \][/tex]

- Divide both sides by -0.6:
[tex]\[ x = \frac{-3}{-0.6} \][/tex]
[tex]\[ x = 5 \][/tex]

4. Equation 4:
[tex]\[ 8.3 - 0.6x = 11.3 \][/tex]

- Subtract 8.3 from both sides:
[tex]\[ -0.6x = 11.3 - 8.3 \][/tex]
[tex]\[ -0.6x = 3 \][/tex]

- Divide both sides by -0.6:
[tex]\[ x = \frac{3}{-0.6} \][/tex]
[tex]\[ x = -5 \][/tex]

By looking at the solutions for each equation, we see:

- Equations 1, 2, and 3 all have a solution of [tex]$ x = 5 $[/tex].

- Equation 4 has a solution of [tex]$ x = -5 $[/tex].

Therefore, the equation that results in a different value of [tex]$ x $[/tex] is the fourth equation: [tex]$ 8.3 - 0.6x = 11.3 $[/tex].