Equivalent equation

Which equation, when solved, results in a different value of x than the other three?

A.

$-{\displaystyle \frac{7}{8}}x-{\displaystyle \frac{3}{4}}=20$

Negative 7/8 x minus three-fourths = 20

B.

${\displaystyle \frac{3}{4}}+{\displaystyle \frac{7}{8}}x=-20$

Three-fourths + 7/8 x = negative 20

C.

$-7{\displaystyle \frac{1}{8}}x-3\mathrm{/}4=20$

Negative 7 ( 1/8 ) x minus three-fourths = 20

D.

$-{\displaystyle \frac{7}{8}}(-{\displaystyle \frac{8}{7}}x)-{\displaystyle \frac{3}{4}}=20(-{\displaystyle \frac{8}{7}})$

Negative 7/8 (Negative 8/7 ) x minus three-fourths = 20 (Negative 8/7 )

Result

w = (Correct answer is: D)

Step-by-step explanation:

$$\begin{gathered} -7\mathrm{/}8\cdot a-3\mathrm{/}4=20 \\ 7a=-166 \\ a={\displaystyle \frac{-166}{7}}\doteq -23.714286 \\ 3\mathrm{/}4+7\mathrm{/}8\cdot b=-20 \\ 7b=-166 \\ b={\displaystyle \frac{-166}{7}}\doteq -23.714286 \\ -7\cdot 1\mathrm{/}8\cdot c-3\mathrm{/}4=20 \\ 7c=-166 \\ c={\displaystyle \frac{-166}{7}}\doteq -23.714286 \\ -7\mathrm{/}8\cdot (-8\mathrm{/}7\cdot d)-3\mathrm{/}4=20\cdot (-8\mathrm{/}7) \\ 56d=-1238 \\ d={\displaystyle \frac{-619}{28}}\doteq -22.107143 \\ a=b=c \\ w=D \end{gathered}$$

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