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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 determine which equation results in a different value of [tex]$ x $[/tex] compared to the other three, let's solve each equation step by step.

1. Equation 1:
[tex]\[
8.3 = -0.6x + 11.3
\][/tex]
Rearrange to solve for [tex]$ x $[/tex]:
[tex]\[
-0.6x = 8.3 - 11.3
\][/tex]
[tex]\[
-0.6x = -3.0
\][/tex]
Dividing both sides by [tex]$-0.6$[/tex]:
[tex]\[
x = \frac{-3.0}{-0.6} = 5.0
\][/tex]

2. Equation 2:
[tex]\[
11.3 = 8.3 + 0.6x
\][/tex]
Rearrange to solve for [tex]$ x $[/tex]:
[tex]\[
0.6x = 11.3 - 8.3
\][/tex]
[tex]\[
0.6x = 3.0
\][/tex]
Dividing both sides by [tex]$0.6$[/tex]:
[tex]\[
x = \frac{3.0}{0.6} = 5.0
\][/tex]

3. Equation 3:
[tex]\[
11.3 - 0.6x = 8.3
\][/tex]
Rearrange to solve for [tex]$ x $[/tex]:
[tex]\[
-0.6x = 8.3 - 11.3
\][/tex]
[tex]\[
-0.6x = -3.0
\][/tex]
Dividing both sides by [tex]$-0.6$[/tex]:
[tex]\[
x = \frac{-3.0}{-0.6} = 5.0
\][/tex]

4. Equation 4:
[tex]\[
8.3 - 0.6x = 11.3
\][/tex]
Rearrange to solve for [tex]$ x $[/tex]:
[tex]\[
-0.6x = 11.3 - 8.3
\][/tex]
[tex]\[
-0.6x = 3.0
\][/tex]
Dividing both sides by [tex]$-0.6$[/tex]:
[tex]\[
x = \frac{3.0}{-0.6} = -5.0
\][/tex]

The values of [tex]$ x $[/tex] for the four equations are [tex]$ 5.0 $[/tex], [tex]$ 5.0 $[/tex], [tex]$ 5.0 $[/tex], and [tex]$-5.0$[/tex] respectively. The equation that results in a different value of [tex]$ x $[/tex] is Equation 4.