Final answer:
After solving the equation 5 - (x - 2) = 1/25 by simplifying and isolating x, it was found that x = 6.96. However, this value does not match any of the multiple choice options given.
Step-by-step explanation:
To solve the equation 5–(x – 2) = ⅔, we first simplify the equation by distributing the negative sign inside the parentheses. This gives us:
5 - x + 2 = ⅔
Then, we combine like terms:
7 - x = ⅔
Now to isolate x, we subtract 7 from both sides:
-x = ⅔ - 7
-x = ⅔ - Ø7
Since ⅔ is equivalent to 0.04, we have:
-x = 0.04 - 7
-x = -6.96
To get x by itself, we multiply both sides by -1:
x = 6.96
Looking at the multiple choice options, none of them match the calculated value of x, suggesting there may have been a mistake in the original equation provided or in the options themselves.